If the sides of a square are decreased by 2cm, the area is decreased by 36m^2. What are the dimensions of the original square?

So A(x-36cm^2)=Lenght 2(x-2cm + Width 2(x-2cm) Is this the right set up?

Printable View

- Jun 30th 2007, 11:31 AMlizard4geometry help
If the sides of a square are decreased by 2cm, the area is decreased by 36m^2. What are the dimensions of the original square?

So A(x-36cm^2)=Lenght 2(x-2cm + Width 2(x-2cm) Is this the right set up? - Jun 30th 2007, 11:40 AMJhevon
Let be the side length of the original square

Let be the area of the original square

Then we have: ............(1)

When the side-length is decreased by 2, the area decreases by 36, so we also have:

..............(2)

Now equate both formulas for A and solve for x, we get:

And i think you can take it from there - Jun 30th 2007, 11:40 AMIlaggoodly
why seperate the length and the width, its a square so take advantage of the fact that all the sides are the same length.

In this scenario you have two equations,

s^2 = A (the original square)

(s-2)^2 = A-36 (the new square)