Question

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Answer 1

Answer:

29.5 yd²

Step-by-step explanation:

First we find the area of the triangle.

The base of the triangle is 5+4 = 9 yd.

The height of the triangle is 6+5 = 11 yd.

The formula for the area of a triangle is A = 1/2bh; this gives us

A = 1/2(9)(11) = 1/2(99) = 49.5 yd²

Next we find the area of the rectangle that is removed.  The length of the rectangle is 4 and the width is 5.  The area of a rectangle is given by

A = l*w; for our rectangle, we have

A = 4(5) = 20 yd²

The shaded region will have an area of

49.5 yd² - 20 yd² = 29.5 yd²

Answer 2

To find the area of a triangle you need to multiply height by width and divide by 2.
Now we just need to find the base and height of the triangle which is 9
(5 + 4) and 11 (6 + 5 )
9 × 11 = 99
99÷2 = 44.5
The area of the triangle is 44.5y^2d^2