Question

When each side of a squre is increased by 1 metre the perimeter becomes
40 metres. What is the length of side of the original square?​

Answer 1

Answer:

9m

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Answer 2

⌬ Let sides of square be x m.

When each side of a square is increased by 1 m the perimeter becomes 40 m.

• Sides of square after increasing 1 m = (x + 1) m

According to the given Question:

We know that,

Perimeter of square = 4 × side

⇏ 4 × (x + 1) = 40

⇏ 4x + 4 = 40

⇏ 4x = 40 - 4

⇏ 4x = 36

⇏ x = 36/4

⇏ x = 9

Hence, the original length of sides of a square is 9 m.

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Verification:

• Side of square after increasing 1 m

⇏ 9 + 1 = 10 m

• Perimeter of square after increasing 1 m in side.

Perimeter = 4 × side

⇏ 4 × 10 = 40 m

Hence, Proved!!