Question

A length of rectangle 5cm more the breadth length is decrease by 3 and breadth is decrease by 2 the are of new rectangle and original rectangle is same find dimension of original rectangle

Answer 1

Let breadth be x. Then, length = x+5

After change, length = (x+5)-3 = x+2
Breadth = x+2
$given \: \: x(x + 5) = (x + 2)(x + 2) \\ {x}^{2} + 5x = {x}^{2} + 4x + 4 \\ x = 4$
Therefore, length = 9 cm and breadth = 4 cm

NOTE: Breadth is taken as increased by 2