Question

The breadth of a rectangular playground is 5m shorter than its length. If its perimeter is 130m,find ids length and breadth.

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Answer 1

• Length is 35 m and breadth is 30 m

Explanation:

Given,

• The breadth of a rectangular playground is 5m shorter than its length.
• Perimeter is 130 m

Let length be x and breadth (x - 5).

Perimeter of rectangle is calculated by :

`\: \: \boxed{ \pmb{ \sf{Perimeter_((rectangle)) = 2(l + b)}}} \\`

On substituting the values we get :

`\dashrightarrow \: \: 130 = 2(x + x - 5) \\`

`\dashrightarrow \: \: 130 = 2(2x - 5) \\`

`\dashrightarrow \: (130)/(2) = (2x - 5) \\`

`\dashrightarrow \: \: 65 = 2x - 5 \\`

`\dashrightarrow \: \: 65 + 5 = 2x \\`

`\dashrightarrow \: \: 70 = 2x \\`

`\dashrightarrow \: \: (70)/(2) = x \\`

`\dashrightarrow \: \: 35 = x \\`

Hence,

• Length = x = 35 m.
• Breadth = x -5 = (35 -5) = 30 m