To find the area of Rectangle 2, we first need to find the base length of Rectangle 1. From the given information, we know that the height of Rectangle 1 is 2.8 inches and its area is 8.68 square inches.
Area of Rectangle 1 = base length * height
8.68 square inches = base length * 2.8 inches
base length = 8.68 / 2.8 = 3.1 inches
Now, Rectangle 2 has the same base length as Rectangle 1, which is 3.1 inches. The height of Rectangle 2 is the same as the height of Triangle 1, which is 2.8 inches.
Area of Rectangle 2 = base length * height
Area of Rectangle 2 = 3.1 inches * 2.8 inches
Area of Rectangle 2 = 8.68 square inches
Next, to find the area of Triangle 2, we can use the area of Triangle 1. The area of Triangle 1 is given as 6.48 square inches. Since Triangle 2 is above Rectangle 2 and has the same base length, it has the same area as Triangle 1.
Area of Triangle 2 = 6.48 square inches
Finally, to find the area of the whole figure, we add the areas of Rectangle 1, Rectangle 2, Triangle 1, and Triangle 2.
Area of the whole figure = 8.68 + 8.68 + 6.48 + 6.48
Area of the whole figure = 30.32 square inches
Therefore, the area of Rectangle 2 is 8.68 square inches, the area of Triangle 2 is 6.48 square inches, and the area of the whole figure is 30.32 square inches.
Lori creates the following design for a T-shirt.
A right-angled triangle with a base length of 11.7 inches consists of 2 rectangles one triangle in height of 2,8 inches and a triangle of 2.4 inches height on top of the rectangles.
Lori found the areas of Triangle 1 and Rectangle 1. Find the areas of the remaining figures.
The area of Rectangle 1 is 8.68 square inches.
The area of Triangle 1 is 6.48 square inches.
The area of Rectangle 2 is _square inches.
The area of Triangle 2 is _square inches.
The area of the whole figure is _square inches.
1 answer
1 answer