a quilt design is made up of right triangles that have a base of 6 inches and a height of 2 2/3 inches. if the quilt is rectangular with dimensions of 90 inches by 72 inches, how many triangles are needed to complete the quilt?

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Ответ:

kamilagreyes9

19.10.2021

Mathematics

The area of the given trapezoid will be the sum of the areas of the triangular part and the rectangular part.

Now, the area of the rectangle, A_1 is:

$A_1=length \times width=2\times 1.5=3$ squared yards

Likewise, the area, A_2 of the triangle will be:

$A_2=\frac{1}{2}\times base\times height=\frac{1}{2}\times 5\times 1.5=3.75 yd^2$

Thus, the area of the trapezoid= A_1+A_2=3+3.75=6.75 yd^2

Thus the first option is the correct option.

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a quilt design is made up of right triangles that have a base of 6 inches and a height of 2 2/3 inches. if the quilt is rectangular with dimensions of 90 inches by 72 inches, how many triangles are needed to complete the quilt?​