Question

Find the area of the shaded region in the figure below. 5in. 8in.

Answer 1

Hi there!

Answer:

The area of the shaded region is 28 in²

Step-by-step explanation:

You will have to do 3 different steps in order to find the area of the shaded region.

First, you will need to find the total area of the rectangle using the values you have and the area formula for a rectangle, which is : A = Length × Width

"A" is the area, which is what we are looking for

The "Length" is equal here to 8 inches

The "Width" is equal here to 5 inches

A = 8 × 5

A = 40 in²

Now that you have the area of the rectanlge, your second step is to find the area of the triangle using the values you have and the area formula for a triangle, which is : A = (Base × Height) ÷ 2

"A" is the area, which is what we are looking for

The "Base" is equal here to 8 inches

The "Height" is equal here to 3 inches

A = (8 × 3) ÷ 2

A = 24 ÷ 2

A = 12 in²

Now that you have both the area of the rectangle and the area of the triangle, all you have to do for your third and final step is subtract the area of the triangle from the area of the rectangle so that you are left with the area of the shaded region :

Area shaded region = 40 in² - 12 in²

Area shaded region = 28 in²

There you go! I really hope this helped, if there's anything just let me know! :)