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The perimeter of rectangular park is 450m. The length of the sides is in the ratio 3:2. Find the area of the rectangle.
Given :
The perimeter of the rectangular park is 450m.
The length of the sides is in the ratio 3:2.
To find :
We have to find the area of the rectangle.
Solution :
Let the length of the rectangle be $3x$ and the breadth of the rectangle be $2x$.
Perimeter of a rectangle $=$ 2 (length $+$ breadth)
This implies,
$450 = 2 (3x + 2x)$
$450 = 2 (5x)$
$450 = 10 x$
$x = \frac{450}{10}$
$x = 45$
Therefore,
Length $= 3 x = 3 (45) = 135\ m$
Breadth $= 2 x = 2 (45) = 90\ m$
Area of the rectangle $=$ Length $\times$ Breadth
$=135\times90\ m^2$
$=12150\ m^2$
The area of the rectangle is $12150\ m^2$.
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