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.