Question

the perimeter of a square field is 96m . find the length of a side . when its length is increased by 50% find its new perimeter

Answer 1

Given :

• Perimeter of square = 96 m
• New length is 50% more of original length

Let :

Original length of side = x

To find :

• Original length of side
• New perimeter

Formula used :

Perimeter of square = 4 × side

Solution :

Part 1)

➝ Original Perimeter = 4 × x

➝ 96 = 4x

➝ x = 96 ÷ 4

➝ x = 24 m

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Now , length of side is increased by 50%

➝ New length = x + 50% of x

➝ New length = x + (50/100) x

➝ New length = x + 0.5x = 1.5 x

➝ New length = 1.5 × 24m

➝ New length = 36 m

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New perimeter = 4 × New length

New perimeter = 4 × 36

New perimeter = 144m

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ANSWER :

• Length of original side = 24m
• New perimeter = 144 m