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General

Easy

Question

# The area of a square of side 30 m is equal to the area of a rectangle of length 15 m. Find the perimeter of the square and rectangle.

## The correct answer is: Perimeter of the given square and rectangle are 120m & 150m, respectively

### Hint:-

i. Area of a square = side2

ii. Perimeter of a square = 4 * side

iii. Area of a rectangle = lenth * breadth

iv. Perimeter of a rectangle = 2 (length + breadth)

Step-by-step solution:-

Area of the given square = side2

∴ Area of the given square = 302

∴ Area of the given square = 900 m2 ....................................................................... (Equation i)

As per given information Area of the given square = Area of the given rectangle

Area of the given rectangle (with length 15m) = 900 m2 ............................................ (From Equation i)

∴ Area of the given rectangle = lenth * breadth

∴ 900 = 15 * breadth

∴ 900 / 15 = breadth

∴ 60 = breadth .................................................................. (Equation ii)

Perimeter of a square = 4 * side

∴ Perimeter of the given square = 4 * 30 ................................................................. (From given information)

∴ Perimeter of the given square = 120 m

Perimeter of a rectangle = 2 (length + breadth)

∴ Perimeter of the given rectangle = 2 (15 + 60) ....................................................... (From given information & Equation ii)

∴ Perimeter of the given rectangle = 2 * 75

∴ Perimeter of the given rectangle = 150 m

Final Answer:-

∴ Perimeter of the given square and rectangle are 120m & 150m, respectively.

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