Question

If the sides of a square is increased by 8cm.Its area increased by 120sq.Cm. Find the sides if square

Answer 1

Answer:

Step-by-step explanation:

LET SIDE =x

AREA =x²

NEW SIDE = x+8

NEW AREA =(x+8)²

ATQ

x²+120 = (x+8)²

x²+120 = x²+64+16x

120      = 64 +16x

16x      =56

x = 56/16

x=7/2

x=3.5cm

thus side = 3.5 cm

HOPE IT HELPS....

Answer 2

Hey there.....!!

Let the side of the square be 'x' then area of the square would be, x^2

( area of square = side * side)

According to the given condition

New side = (x + 8)cms

New area = x^2 + 120

Area of square = side * side

x^2 + 120 = (x+8)^2

x^2 + 120 = x^2 + 64 + 16x

x^2 - x^2 +120 - 64 = 16x

56 = 16x

16x = 56

x = 56/16

x = 3.5 cm

Hence side of square is 3.5 cm

Hope this helps!!!