Question

if the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm a square with the same area as a original rectangle result find the perimeter of the original rectangle​

Answer 1

Answer: 50 cm

Step-by-step explanation:

Let x and y be the length and breadth of the rectangle respectively.

Then, x - 4 = y + 3 or x - y = 7 ----(i)

Area of the rectangle =xy; Area of the square = (x - 4) (y + 3)

(x - 4) (y + 3) =xy <=> 3x - 4y = 12 ----(ii)

Solving (i) and (ii), we get x = 16 and y = 9.

Perimeter of the rectangle = 2 (x + y) = [2 (16 + 9)] cm = 50 cm.