calculate the area and perimeter(all around). perimeter: ____ ft area: …

calculate the area and perimeter(all around).
perimeter: ____ ft
area: ____ ft²

Understand the question
calculate the area and perimeter(all around).
perimeter: ____ ft
area: ____ ft²
Explanation
Step1: Find missing side lengths

Left vertical side: $20 + 12 = 32$ ft; Bottom horizontal side: $14 + 10 = 24$ ft

Step2: Calculate perimeter

Sum all outer sides: $32 + 24 + 12 + 14 + 20 + 10$
$= (32+24)+(12+14)+(20+10) = 56+26+30 = 112$ ft

Step3: Split shape into two rectangles

Rectangle 1: $20 \times 10$; Rectangle 2: $24 \times 12$

Step4: Calculate total area

Sum areas of rectangles: $20\times10 + 24\times12$
$= 200 + 288 = 488$ ft²
Final answer
Perimeter: 112 ft
Area: 488 ft²

Left vertical side: $20 + 12 = 32$ ft; Bottom horizontal side: $14 + 10 = 24$ ft

Sum all outer sides: $32 + 24 + 12 + 14 + 20 + 10$
$= (32+24)+(12+14)+(20+10) = 56+26+30 = 112$ ft

Rectangle 1: $20 \times 10$; Rectangle 2: $24 \times 12$

Sum areas of rectangles: $20\times10 + 24\times12$
$= 200 + 288 = 488$ ft²

Perimeter: 112 ft
Area: 488 ft²

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Subject mathematics

Sub Subject geometry

Education Level high school

Difficulty unspecified

Question Type with image, calculation

Multi Question No

Question Count 1

Analysis Status completed

Analyzed At 2026-02-04T00:15:47

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calculate the area and perimeter(all around).
perimeter: ____ ft
area: ____ ft²

mathematicsgeometrywith image, calculationhigh schoolliked-answerturns-1

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