Question

Find the perimeter and area of the shape given below:

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• A. 120 cm , $1150{cm}^2$
• B. 144 cm, $1125{cm}^2$
• C. 114 cm, $1125{cm}^2$
• D. 150 cm, $1150{cm}^2$

Answer 1

The correct option is D 150 cm, $1150{cm}^2$

$\Rightarrow$ Perimeter = Length of the boundary = (45 + 22 + 25 + 8 + 20 + (8+22)) = (45 + 22 + 25 + 8 + 20 + (30)) = 150 m
$\Rightarrow$ Area of the shape = Area of the larger rectangle + area of smaller rectangle
$=(45\times 22)+(20\times 8)$
$=\left(990\right)+\left(160\right)$
$=1150{cm}^2$

$\therefore$ Area $=1150{cm}^2$