Question

when the side of a square is increased by 5 cm the area of the square increases by 135 CM square find the length of the side of the square

Answer 1

Let the original side be x
so after increasing x+5 is side
area=x² but after increasing area=x²+135
so
(x+5)²=x²+135
x²+10x+25=x²+135
10x=110
x=11cm
so length of square is 11cm
Thank you

Answer 2

Area of square = a^2 ( when side of
square = a)
When size increasea by 5 cm it will be a+5
As per given condition:-

(a+5) (a+5) = a^2+135
a^2+5a+5a+25 = a^2 + 135
10a+25 = 135 { a^2 cancels with a^2}

10 a = 110
a = 110/10

a = 11cm

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