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Question
a narrow rectangular mural is 2 feet wide. it is 7 times as long as it is wide. find the perimeter and area of the mural. 14 ft 2 ft 2 ft 2 ft 2 ft 2 ft 2 ft 2 ft 2 ft the perimeter of the mural is feet. the area of the mural is square feet.
Step1: Find the length of the mural
Given the width $w = 2$ feet and length $l$ is 7 times the width, so $l=7\times w = 7\times2=14$ feet.
Step2: Calculate the perimeter of the rectangle
The formula for the perimeter of a rectangle is $P = 2(l + w)$. Substitute $l = 14$ feet and $w = 2$ feet. $P=2(14 + 2)=2\times16 = 32$ feet.
Step3: Calculate the area of the rectangle
The formula for the area of a rectangle is $A=l\times w$. Substitute $l = 14$ feet and $w = 2$ feet. $A = 14\times2=28$ square - feet.
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The perimeter of the mural is 32 feet.
The area of the mural is 28 square feet.