206k views
2 votes
What is the area of the shaded region in the rectangle?10 in.9 inA 45 in.2B90 in.2C 180 in.2D 360 in 2

What is the area of the shaded region in the rectangle?10 in.9 inA 45 in.2B90 in.2C-example-1
User Travon
by
6.2k points

1 Answer

7 votes

Step 1: Let's calculate the area of the rectangle. as follows:

Area = Length * Width

Area = 10 * (2 * 9) We see that the base of the triangles is 9 and we have two triangles, thus the lenght of the rectangle is 2 * 9

Area = 10 * 18 square inches

Area = 180 square inches

Step 2: Let's calculate the area of the two triangles that form the shaded region:

Area = (Base - Height)/2

We can see that the base of the triangle is 9, and the height is also the width of the rectangle, 10.

Area = 9 * 10/2

Area = 90/2

Area = 45 square inches

Like we have two triangles, then the shaded area is:

Area = 45 * 2 (You can calculate this multiplication, Lizzy)

And that is the answer to our problem.

If we want to know the area of the non-shaded region, we proceed this way:

Area = Area of the rectangle - Area of the shaded region

Area = 180 - Area of the shaded region

User Moseleyi
by
7.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.