If the side of a square is increased by 8 cm, its area increases by 120 sq. cm. Find the side of the square. Option 1: 3.5 cm Option 2: 4.5 cm Option 3: 2.5 cm Option 4: 5.5 cm

Answer: 3.5 cm. Solution: Let the side be x. Then (x+8)^2 - x^2 = 120, so 16x + 64 = 120, giving 16x = 56 and x = 3.5 cm.

Geometry

Quadrilaterals

Easy

If the side of a square is increased by 8 cm, its area increases by 120 sq. cm. Find the side of the square.

3.5 cm

4.5 cm

2.5 cm

5.5 cm

✅ Correct Option: 1

Let the side be $x$ . Then $(x+8)^2 - x^2 = 120$ , so $16x + 64 = 120$ , giving $16x = 56$ and $x = 3.5$ cm.

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Which is/are true?

(A) The sum of any two sides of a triangle is greater than the third side.

(B) The median of a triangle divides it into two triangles of equal area.

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Choose the correct answer from the options given below:

If the side of a square is increased by 8 cm, its area increases by 120 sq. cm. Find the side of the square.

Solution

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