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 sides. moving clock - wise 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.
176
ft
step 3: to find the total area, separate the figure into two separate rectangles a and b, and then find the area of each one. first, give the dimensions of each rectangle. (enter your answers as a comma - separated list.)
rectangle a
ft
rectangle b
ft
step 4: find the area for each rectangle.
rectangle a
ft²
rectangle b
ft²
step 5: find the total area.
ft²

Explanation:

Step1: Find 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

$P=28 + 60+12 + 42+16+18$
$P = 176$ ft

Step3: Identify rectangle dimensions

Rectangle A has dimensions $28$ ft by $18$ ft. Rectangle B has dimensions $42$ ft by $12$ ft.

Step4: Calculate rectangle areas

Area of rectangle A: $A_A=28\times18 = 504$ ft². Area of rectangle B: $A_B=42\times12=504$ ft².

Step5: Calculate total area

$A = A_A+A_B=504 + 504=1008$ ft²

Answer:

Perimeter: 176 ft
Area: 1008 ft²