Question

find the perimeter and area of the following composite figure: perimeter = feet (if needed, enter answer to 1 decimal place.) area = square feet (if needed, enter answer to 1 decimal place) note: figures are not to scale.

Explanation:

Step1: Calculate the perimeter

Add up all the outer - side lengths.
$33 + 33+7 + 31+9+7=120$ feet

Step2: Calculate the area

Split the figure into two triangles and a rectangle.
For the two triangles:
The base of each triangle is $7$ ft and the height is $32$ ft. The area of a single triangle is $A_{triangle}=\frac{1}{2}\times7\times32 = 112$ square - feet. The total area of two triangles is $2\times112 = 224$ square - feet.
For the rectangle:
The length of the rectangle is $31$ ft and the width is $9$ ft. The area of the rectangle is $A_{rectangle}=31\times9=279$ square - feet.
The total area of the composite figure is $A = 224+279=503$ square - feet.

Answer:

Perimeter = 120.0 feet
Area = 503.0 square feet