Question

the area of a square is 3364 sq. cm. what is the ratio of the perimeter of the square to that of a rectangle if the length of the rectangle is thrice the side of the square and the breadth is 18 m less than the side of the square?

Answer 1

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Answer 2

Area of the square = 3364 cm² (Given)

Find the length of the square:

Area = Length²

Length² = 3364

Length = √3364

Length = 58 cm

Find the perimeter of the square:

Perimeter = 4 x Length

Perimeter = 4 x 58 = 232 cm

Find the length of the rectangle:

Length = 3 x 58 = 174 cm

Find the breadth of the rectangle:

Breadth = 58 - 18 = 40 cm

Find the perimeter of the rectangle:

Perimeter = 2( Length + Breadth)

Perimeter = 2(174 + 40) = 428 cm

Find the ratio of perimeter of the square to the rectangle:

Square : Rectangle = 232 : 428

Simplifying by dividing by 4:

Square : Rectangle = 58 : 107

Answer: The ratio is 58 : 107