Question

A rectangle is 12 cm long and 8cm wide. If the length of rectangle is reduced by x and width increased by x so to make it a square , its area changes by

Answer 1

Answer:

change in area is 4sqcm

Step-by-step explanation:

length of rectangle = 12

breadth of rectangle = 8

area of rectangle = l × b = 12 × 8 = 96

length is reduced by x = l - x

breadth increased by = b + x

resultant figure is a square

therefore the length and breadth will be equal

12 - x = 8 + x

2x = 12 - 8

x = 4/2 = 2

area of square (12 - x)(8 + x)

(12 - 2)(8 + 2)

10 × 10 = 100 sqcm

change in area is 4sqcm