Perimeter and Area of Plane Figures — Maths STD 10 — Question
Gujarat BoardEnglish MediumSTD 10MathsPerimeter and Area of Plane Figures4 Marks
Question
The length of a rectangular park is twice its breadth, and its perimeter measures $840\ m$. Find the area of the park.
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Answer
The length of a rectangular park is twice its breadth and its perimeter is 840m.
Find its perimeter is 840m.
Let the breadth of a rectangular park $= x\ m$
Then, length of a rectangular park $= 2x\ m$
Perimeter of a rectangular park $= 840m$
$\Rightarrow 2($length + breadth$) = 840$
$\Rightarrow 2(2x + x) = 840$
$\Rightarrow 2 \times 3x = 840$
$\Rightarrow 6x = 840$
$\Rightarrow\text{x}=\frac{840}{6}$
$\Rightarrow x = 140m =$ breadth
$\Rightarrow 2x = 2 \times 140 = 280m =$ length
$\therefore$ Area of a rectangular park = length \times breadth $= 140 \times 280 = 39200m^2$
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