Question

PLEASE HELP ME! Kristine has a bedroom wall that is shaped like a trapezoid with a height of 9 ft, a top base of 12 ft, and a bottom base of 15 ft. In the middle of this wall is a circular window whose radius is 3 ft. What is the area of the wall without the window?

Answer 1

First, we figure out the area of the wall, which is shaped like a trapezoid. The equation for the area of a trapezoid is 
where a is the top base, b is the bottom base and h is the height.Substitute your given values into the equation and solve:A=1/2(12+15)9A=4.5(27)Area of the wall= 121.5ft²
Now we figure out the area of the of the circular window. The formula for the area of a circle is 
where r is the radiusSubstitute your given values into the equation and solve:pi×3²

Now finally minus the area of the window from the area of the wall.121.5-28.27433388=93.22566612To 1 d.p., the area of the wall without the window is 93.2ft²