To find the area of the figure, we first need to find the area of the rectangle and the area of the triangle, then add them together.
The area of the rectangle is found by multiplying the length (15 cm) by the width (21 cm):
Area of rectangle = length * width = 15 cm * 21 cm = 315 cm²
The area of the triangle is found by multiplying the base (15 cm) by the height (12 cm) and dividing the result by 2:
Area of triangle = (base * height) / 2 = (15 cm * 12 cm) / 2 = 180 cm²
Now, we can add the area of the rectangle and the area of the triangle together to find the total area of the figure:
Total area = Area of rectangle + Area of triangle = 315 cm² + 180 cm² = 495 cm²
Therefore, the correct answer is B) 495 cm².
Kyle is finding the area of this figure using a rectangle and a triangle. What is the area of the figure?
15 cm is length of rectangle and 21cm is width of rectangle. 12 cm is width of triangle
Responses
A 315
315 cm 2
B 405
405 cm 2
C 90
90 cm 2
D 325
325 cm 2
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3 answers
that is not an option for the answer.
Apologies for the confusion. Let's calculate the area correctly.
The area of the rectangle is given by the formula length * width:
Area of rectangle = 15 cm * 21 cm = 315 cm²
The area of the triangle is given by the formula base * height / 2:
Area of triangle = (15 cm * 12 cm) / 2 = 90 cm²
To find the total area of the figure, we add the area of the rectangle and the area of the triangle:
Total area = Area of rectangle + Area of triangle = 315 cm² + 90 cm² = 405 cm²
Therefore, the correct answer is B) 405 cm².
The area of the rectangle is given by the formula length * width:
Area of rectangle = 15 cm * 21 cm = 315 cm²
The area of the triangle is given by the formula base * height / 2:
Area of triangle = (15 cm * 12 cm) / 2 = 90 cm²
To find the total area of the figure, we add the area of the rectangle and the area of the triangle:
Total area = Area of rectangle + Area of triangle = 315 cm² + 90 cm² = 405 cm²
Therefore, the correct answer is B) 405 cm².