Hi there!
<u>Answer:</u>
The area of the shaded region is 28 in²
<u>Step-by-step explanation:</u>
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 = <u>8 × 5</u>
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 = <u>(8 × 3)</u> ÷ 2
A = <u>24 ÷ 2</u>
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 = <u>40 in² - 12 in²</u>
Area shaded region = 28 in²
There you go! I really hope this helped, if there's anything just let me know! :)
