SOLUTION: The question states: A square was made into a rectangle by adding 3 inches to one side, and taking off 3 form the adjacent side. The area of the rectangle is 40 sq.ft. Create an

Question 969097: The question states:
A square was made into a rectangle by adding 3 inches to one side, and taking off 3 form the adjacent side. The area of the rectangle is 40 sq.ft. Create an equation in terms of x, to help you solve and find the original area of the square.
Answer by Timnewman(323) (Show Source): You can put this solution on YOUR website!
Hi,
Note; square has all sides equal.
let original lenght of the square be "x"
since one side is increased by 3,x will increase by 3
therefore,(x+3)
Also the other is decreased by 3,then,(x-3)
since the area of the rectangle formed is 40,
(x+3)(x-3)=40
x�-3x+3x-9=40
x�-9=40
x�=40+9
x�=49
(This is an equation interms of x)
Hence,
x=\/49
x=7
the lenght of the original square is 7
The area(A) of the original square =7*7
=49ft�
The area of the original square is 49ft�
CHEERS
Timnewman,...
RELATED QUESTIONS
if one side of a square is increased by 3 inches and the adjacent side is decreased by 2... (answered by ankor@dixie-net.com)

I start with a square, increase one side by 3 cm and decrease an adjacent side by 2 cm to (answered by Fombitz)

If one side of a square is increased by 4 inches and an adjacent side is multiplied by... (answered by Cromlix)

If one side of a square is increased by 2 inches and an adjacent side is decreased by 2... (answered by checkley77)

I have this Maths Question. The sides of a rectangle are in the ratio 2:3 The... (answered by nyc_function)

If a square has a side equal to the perimeter of a rectangle with adjacent sides 3 cm and (answered by jorel1380)

When one side of the square is increased by 4 meters and the adjacent side is multiplied... (answered by macston)

The sides of a square are increased to form a rectangle. One side in increased by 3 units (answered by Cromlix)

A rectangle is formed from a square by adding 6m to one side and 3m to the other side.... (answered by josgarithmetic)