Question

find the perimeter and area of the figure below.
step 1: find the perimeter by adding up each length of the figure. we are given four of the side lengths. we must solve for the two remaining we have the following lengths.
28 ft
+ 60 ft
+ 12 ft
+ 42 ft
+ (28 - ) = ft
+ (60 - ) = ft
step 2: total these lengths to find the perimeter of the figure.

Explanation:

Step1: Analyze missing side - lengths

The vertical missing side - length is $28 - 12=16$ ft. The horizontal missing side - length is $60 - 42 = 18$ ft.

Step2: Calculate perimeter

Perimeter $=28+60 + 12+42+16+18$
$=(28 + 16)+(60+18)+(12 + 42)$
$=44+78+54$
$=176$ ft

Step3: Calculate area

We can split the figure into two rectangles. One rectangle has dimensions $28$ ft by $18$ ft and the other has dimensions $42$ ft by $12$ ft.
Area of first rectangle $=28\times18 = 504$ square - ft.
Area of second rectangle $=42\times12=504$ square - ft.
Total area $=504 + 504=1008$ square - ft.

Answer:

Perimeter: $176$ ft, Area: $1008$ square - ft