Question

if the sides of square is increased by 4cm it's area increases by 32.square cm.find it's sides​

Answer 1

Answer:

2 cm

Step-by-step explanation:

let side be x

so, area will be x^2

now side is increased by 4

so,(x+4)^2=x^2+32

x^2 +16+8x =x^2+32

x^2-x^2+8x=32-16

8x=16

x=16÷8

x=2

Answer 2

Step-by-step explanation:

• let the sides of the given square be x cm.
• then, its area will be x^{2} cm^{2}.
• on increasing the sides by 4 cm,
• area becomes x+4^{2}, which is equal to x^{2}+32 , as given in question
• on solving above condition, you will get x = 2 cm.