Question

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region.

Answer 1

The area of the shaded region is 29.5 square yards.

The following calculations are to be done:

Area of the triangle:

Base of the triangle is

= 5 + 4

= 9 yard.

Height of the triangle = 6 + 5  

Height of the triangle= 11 yards.

The area of the triangle is,

$\ Area \ of \ the\ rectangle=\frac{1}{2} \times height\times base$

$\ Area \ of \ the\ rectangle=\frac{1}{2}\times 9\times 11$

= 49.5 square yards.

What is the formula for the area of a triangle?

Area of the rectangle:

$=Length\times width$

$=4\times 5$

= 20 square yards.

Now finally the shaded region should be

= 49.5 square yards - 20 square yards

= 29.5 square yard

Therefore we can conclude that the area of the shaded region is 29.5 square yards.

To learn more about the rectangle visit:

brainly.com/question/2773823

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