Question

The ratio of length and breadth of a rectangular playground is 3 : 2. Find the length if
the breadth is 32m.

Answer 1

Answer :-

• The length of the rectangular playground is 48 m.

Given :-

• The ratio of length and breadth of a rectangular playground is 3 : 2.

• The breadth is 32 m.

To find :-

• The length of the playground.

Step-by-step explanation :-

• It has been given that the ratio of length and breadth of a rectangular playground is 3 : 2.

• So, let the length and breadth be 3x and 2x respectively.

• It has been given that the breadth is 32 m.

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It means that :-

$\sf2x = 32$

Transposing 2 from LHS to RHS, changing it's sign,

$\sf x = \dfrac{32}{2}$

Dividing 32 by 2,

$\sf x = 16 \: m$

• The value of x is 16 m.

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Hence,

$\underline{\underline{\mathfrak{Substituting \: the \: value \: of \: x,}}}$

$\bf Length = 3x = 3 \times 16 = 48 \: m.$

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• Thus, the length is 48 m.