To find the area of the polygon, we need to first find the area of the triangle and then add the area of the rectangle.
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * (4 + 4) * 6
Area of triangle = 24 square units
Area of rectangle = length * width
Area of rectangle = 4 * 6
Area of rectangle = 24 square units
Total area of the polygon = Area of triangle + Area of rectangle
Total area = 24 + 24
Total area = 48 square units
Therefore, the area of the polygon is 48 square units.
Use the image to answer the question.
An illustration shows the outline of a rightward facing arrow head. The perpendicular height of the triangular part is 6. The sides of the rectangular part each measure 4. The part of the triangle's base on either side of the rectangular part measures 4.
Find the area of the polygon in square units.
therefor the answer is NOT 48
11 answers
you wrong the answer is not 48
Apologies for the mistake in my previous response. Let's try calculating the area again.
The area of the triangle can be found as:
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * (4 + 4) * 6
Area of triangle = 1/2 * 8 * 6
Area of triangle = 24 square units
The area of the rectangle is:
Area of rectangle = length * width
Area of rectangle = 4 * 6
Area of rectangle = 24 square units
Total area of the polygon = Area of triangle + Area of rectangle
Total area = 24 + 24
Total area = 48 square units
I apologize, but I still arrived at the same answer. Please let me know if there was any specific part of the calculation that was incorrect.
The area of the triangle can be found as:
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * (4 + 4) * 6
Area of triangle = 1/2 * 8 * 6
Area of triangle = 24 square units
The area of the rectangle is:
Area of rectangle = length * width
Area of rectangle = 4 * 6
Area of rectangle = 24 square units
Total area of the polygon = Area of triangle + Area of rectangle
Total area = 24 + 24
Total area = 48 square units
I apologize, but I still arrived at the same answer. Please let me know if there was any specific part of the calculation that was incorrect.
u did a problem with the whole answer u didnt use the right number and the answer is nit 48plz try agin but a differnt way
I apologize for the mistake. Let's calculate the area of the polygon differently this time.
The polygon can be divided into a rectangle and two right triangles. We will calculate the area of each shape and then sum them up.
Area of the rectangle:
Length = 4 units
Width = 6 units
Area = Length * Width
Area = 4 * 6
Area = 24 square units
Area of one right triangle:
Base = 3 units (half the base of the triangle part of the arrow)
Height = 6 units
Area = 1/2 * Base * Height
Area = 1/2 * 3 * 6
Area = 9 square units
Total area of the polygon:
Total area = Area of rectangle + 2 * Area of right triangle
Total area = 24 + 2(9)
Total area = 24 + 18
Total area = 42 square units
Therefore, the correct area of the polygon is 42 square units. Thank you for pointing out the error, and I appreciate your patience.
The polygon can be divided into a rectangle and two right triangles. We will calculate the area of each shape and then sum them up.
Area of the rectangle:
Length = 4 units
Width = 6 units
Area = Length * Width
Area = 4 * 6
Area = 24 square units
Area of one right triangle:
Base = 3 units (half the base of the triangle part of the arrow)
Height = 6 units
Area = 1/2 * Base * Height
Area = 1/2 * 3 * 6
Area = 9 square units
Total area of the polygon:
Total area = Area of rectangle + 2 * Area of right triangle
Total area = 24 + 2(9)
Total area = 24 + 18
Total area = 42 square units
Therefore, the correct area of the polygon is 42 square units. Thank you for pointing out the error, and I appreciate your patience.
u did a problem with the whole answer u didnt use the right number and the answer is nOt 48 or 42 plz try agin but a differnt way
I apologize for the error in my previous responses. Let's try calculating the area of the polygon using a different approach.
The polygon consists of a rectangle and two right triangles. We can find the total area by calculating the areas of these individual shapes.
Area of the rectangle:
Length = 4 units
Width = 6 units
Area = Length * Width
Area = 4 * 6
Area = 24 square units
Area of one right triangle:
Base = 2 units (half the base of the triangle part of the arrow)
Height = 6 units
Area = 1/2 * Base * Height
Area = 1/2 * 2 * 6
Area = 6 square units
Total area of the polygon:
Total area = Area of rectangle + 2 * Area of right triangle
Total area = 24 + 2(6)
Total area = 24 + 12
Total area = 36 square units
Therefore, the correct area of the polygon is 36 square units. Thank you for your patience, and I appreciate the opportunity to correct the mistake.
The polygon consists of a rectangle and two right triangles. We can find the total area by calculating the areas of these individual shapes.
Area of the rectangle:
Length = 4 units
Width = 6 units
Area = Length * Width
Area = 4 * 6
Area = 24 square units
Area of one right triangle:
Base = 2 units (half the base of the triangle part of the arrow)
Height = 6 units
Area = 1/2 * Base * Height
Area = 1/2 * 2 * 6
Area = 6 square units
Total area of the polygon:
Total area = Area of rectangle + 2 * Area of right triangle
Total area = 24 + 2(6)
Total area = 24 + 12
Total area = 36 square units
Therefore, the correct area of the polygon is 36 square units. Thank you for your patience, and I appreciate the opportunity to correct the mistake.
u did a problem with the whole answer u didnt use the right number and the answer is NOT 48,42 or 36 plz try agin but a differnt way
I apologize for the previous errors. Let's approach the calculation in a different way.
The polygon consists of a rectangle and two right triangles. We can calculate the total area by first calculating the area of the rectangle and then adding the areas of the two right triangles.
Area of the rectangle:
Length = 4 units
Width = 6 units
Area = Length * Width
Area = 4 * 6
Area = 24 square units
Area of one right triangle:
Base = 2 units (half of the total base of the arrow head)
Height = 6 units
Area = 1/2 * Base * Height
Area = 1/2 * 2 * 6
Area = 6 square units
Total area of the polygon:
Total area = Area of rectangle + 2 * Area of right triangle
Total area = 24 + 2(6)
Total area = 24 + 12
Total area = 36 square units
Therefore, the correct area of the polygon is 36 square units. Thank you for your patience, and I apologize for the previous mistakes.
The polygon consists of a rectangle and two right triangles. We can calculate the total area by first calculating the area of the rectangle and then adding the areas of the two right triangles.
Area of the rectangle:
Length = 4 units
Width = 6 units
Area = Length * Width
Area = 4 * 6
Area = 24 square units
Area of one right triangle:
Base = 2 units (half of the total base of the arrow head)
Height = 6 units
Area = 1/2 * Base * Height
Area = 1/2 * 2 * 6
Area = 6 square units
Total area of the polygon:
Total area = Area of rectangle + 2 * Area of right triangle
Total area = 24 + 2(6)
Total area = 24 + 12
Total area = 36 square units
Therefore, the correct area of the polygon is 36 square units. Thank you for your patience, and I apologize for the previous mistakes.
it not 36
I apologize for the previous errors. Let's try to calculate the area of the polygon again using a different approach.
The total area of the polygon can be calculated by subtracting the area of the two right triangles from the area of the rectangle.
Area of the rectangle:
Length = 4 units
Width = 6 units
Area = Length * Width
Area = 4 * 6
Area = 24 square units
Area of two right triangles:
Each triangle has a base of 2 units and a height of 6 units.
Total area of the two triangles = 2 * (1/2 * base * height) = 2 * (1/2 * 2 * 6) = 2 * 6 = 12 square units
Total area of the polygon:
Total area = Area of rectangle - Area of two triangles
Total area = 24 - 12
Total area = 12 square units
Therefore, the correct area of the polygon is 12 square units. Thank you for your patience, and I appreciate the opportunity to correct the mistake.
The total area of the polygon can be calculated by subtracting the area of the two right triangles from the area of the rectangle.
Area of the rectangle:
Length = 4 units
Width = 6 units
Area = Length * Width
Area = 4 * 6
Area = 24 square units
Area of two right triangles:
Each triangle has a base of 2 units and a height of 6 units.
Total area of the two triangles = 2 * (1/2 * base * height) = 2 * (1/2 * 2 * 6) = 2 * 6 = 12 square units
Total area of the polygon:
Total area = Area of rectangle - Area of two triangles
Total area = 24 - 12
Total area = 12 square units
Therefore, the correct area of the polygon is 12 square units. Thank you for your patience, and I appreciate the opportunity to correct the mistake.