Question

find the area. round to the nearest tenth. enter the correct number in the box. ft²

Explanation:

Step1: Divide the shape into a rectangle and a trapezoid

The rectangle has length 6 ft and width 3 ft. The trapezoid has bases 6 ft and 12 ft, and height 9.16 ft.

Step2: Calculate the area of the rectangle

The area formula for a rectangle is $A_{rect}=l\times w$. So $A_{rect}=6\times3 = 18$ square - feet.

Step3: Calculate the area of the trapezoid

The area formula for a trapezoid is $A_{trap}=\frac{(b_1 + b_2)h}{2}$, where $b_1 = 6$ ft, $b_2 = 12$ ft, and $h = 9.16$ ft. Then $A_{trap}=\frac{(6 + 12)\times9.16}{2}=\frac{18\times9.16}{2}=82.44$ square - feet.

Step4: Calculate the total area

The total area $A = A_{rect}+A_{trap}=18 + 82.44=100.44\approx100.4$ square - feet.

Answer:

100.4