Question

if the sides of a square are lengthened by 3 m, the area becomes 81 m2. Find the length of a side of the original square.

Answer 1

Answer:

The length of a side of the original square is 6 meters

Step-by-step explanation:

Let

x ----> the length side of the original square

The area of a square is equal to

$A=b^2$

where

b is the length side of the square

In this problem

The new length side of the square is $b=(x+3)\ m$ and the area is $A=81\ m^2$

so

$(x+3)^2=81$

solve for x

take square root both sides

$(x+3)=9$

$x=9-3=6\ m$