Question

A club swimming pool is 21ft wide and 41ft long. The club members want a uniform width border around the pool. They have enough material for 264 ft squared. How wide can the strip be?

Answer 1

Answer-

Strip with 2.13 ft width can be used.

Solution-

A club swimming pool is 21 ft wide and 41 ft long.

Hence, the perimeter of the swimming pool is

$P=2(\text{Length}+\text{Width})=2(41+21)=2(62)=124\ ft$

The club members want a uniform width border around the pool.

They have enough material for 264 ft²

As they will cover the perimeter of the rectangular pool, so the length of the total used strip is equal to the perimeter of the swimming pool.

Let the width of the strip is x ft

So, the total area of the used strip is,

$A=\text{Length}\times \text{Width}$

Putting the values,

$\Rightarrow 264=124\times x$

$\Rightarrow x=\dfrac{264}{124}$

$\Rightarrow x=2.13\ ft$

Therefore, strip with 2.13 ft width can be used.