Question

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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

Answer:

Perimeter: 112 ft
Area: 488 ft²