The breadth of a rectangular garden is 23 of its length- If its perimeter is 40 m- then find its length-

Let the length of the garden be ‘x’ m Breadth = 23x m Perimeter = 2 [Length + Breadth] 40=2 (x+23x) 40=2(53x) 40=103x x=40 × 310 x=12 m So length =12 m ...

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Standard VIII

Mathematics

Compound Variation

The breadth o...

Question

The breadth of a rectangular garden is $\frac{2}{3}$ of its length. If its perimeter is $40 m$ , then find its length.

10 m

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12 m

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8 m

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6 m

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Solution

The correct option is B $12 m$
Let the length of the garden be $‘ x^{'} m$
Breadth $= \frac{2}{3} x m$
Perimeter $= 2$ [Length + Breadth]
$40 = 2 (x + \frac{2}{3} x)$
$40 = 2 (\frac{5}{3} x)$
$40 = \frac{10}{3} x$
$x = \frac{40 \times 3}{10}$
$x = 12 m$
So length $= 12 m$

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The breadth of a rectangular garden is 23 of its length. If its perimeter is 40 m, then find its length.

The correct option is B 12 mLet the length of the garden be ‘x′ m Breadth =23x m Perimeter =2 [Length + Breadth] 40=2(x+23x) 40=2(53x) 40=103x x=40×310 x=12 m So length =12 m

The breadth of a rectangular garden is $\frac{2}{3}$ of its length. If its perimeter is $40 m$ , then find its length.

The correct option is B $12 m$
Let the length of the garden be $‘ x^{'} m$
Breadth $= \frac{2}{3} x m$
Perimeter $= 2$ [Length + Breadth]
$40 = 2 (x + \frac{2}{3} x)$
$40 = 2 (\frac{5}{3} x)$
$40 = \frac{10}{3} x$
$x = \frac{40 \times 3}{10}$
$x = 12 m$
So length $= 12 m$