The sides of two square are in the ratio 2 : 3 and the sum of their perimeters is 180 cm. Find the area of the larger square (in cm2)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 729.
Let the sides of both the squares be 2x and 3x respectively.
Given, 4(2x) + 4(3x) = 180
⇒ 5x = 45
⇒ x = 9
Side of larger square = 3x
⇒ 3 × 9 = 27
Area of larger square = (27)2
⇒ 729