Question

The perimeter of a rectangular swimming pool is $100m$ . Its length is $5m$, more than twice its breadth . What is the length and the breadth of the pool ?​

Answer 1

Step 1: Form the equation using given information.

Let breadth of swimming pool be $xm$ , then its length will be $(2x+5)m.$
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Perimeter of swimming pool is $100m$.

$\Rightarrow 2(x+2x+5)=100$

$\Rightarrow 3x+5=\frac{100}{2}$

$\Rightarrow 3x+5=50$
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Step 2: Subtract 5 from both sides of equation.

$\Rightarrow 3x+5-5=50-5$

$\Rightarrow 3x=45$

$\Rightarrow x=\frac{45}{3}=15$
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So breadth of swimming pool $=15m$
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Length $=2x+5$

$=2\times 15+5$

$=30+5$

$=35m$

Hence, the length of the pool is $35m$ and the breadth is $15m$.
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