# mat117/algebra

If the sides of a square are increased by 3 cm, the area is decreased by 36 cm^2. What were the dimensions of the original square? Please show me the formula and how to work.

That doesn't sound possible.

If the sides of a square are increased, the area must also be increased.

Ms.Sue is correct. You may have copied down the problem incorrectly.

If increasing the sides by three INCREASES the area by 36, and the orginal side length is a, then
(a+3)^2 = a^2 + 36
a^2 + 6x + 9 = a^2 + 36
Subtract out the a^2 terms on both sides.
6x = 27
x = 4.5

1. 👍 0
2. 👎 0
3. 👁 161

## Similar Questions

1. ### Mathematics

The lengths of two opposing sides of a square are decreased by forty percent. By approximately what percent would the lengths of the other two sides have to be INCREASED so that the area of the new figure ( a rectangle) is the

asked by Courtney on August 14, 2011
2. ### Algebra

If the sides of of a square are decreased by 2cm, the area is decreased by 36cm square. What are the dimensions of the original square? original square: x by x new square: x-2 by x-2 old area = x^2 new area = (x-2)^2 The

asked by Tony on April 11, 2007
3. ### Maths

The area of pond will be decreased by 3 square feet if its length is decreased by 2 feet breadth is creased by 1 ft. its area will be increased by 4 square feet if the length is increased by 1 ft. its area will be increased by 4

asked by T.N. on September 21, 2014
4. ### Math

A square mirror has sides measuring 2 ft. less than the sides of a square painting. If the difference between their areas is 32 ft^2, find the lengths of the sides of the mirror and the painting? Square mirror= x-2 Painting=x I

asked by Aniya on July 13, 2008
5. ### Algebra

If the sides of a square are increased by 3 cm, its area becomes 100 cm2. Find the length of the sides of the original square.

asked by Anonymous on April 16, 2012
6. ### math

Solve this problem plz... A rectangle has an area of 288 cm square.if the width is decreased by 1cm and length is increased by 1 cm the area would decreasedby 3 cm square.fin the original dimension of the rectangle.

asked by Ali on January 20, 2016
7. ### math

Compare the number of Facebook friends at the beginning of a month and at the end of that month, if … a) it increased by 25% and then decreased by 40% b) it decreased by 60% and then increased by 80% c) it increased by 5% and

asked by Vernice on March 13, 2019
8. ### Algebra II

A square is altered so that one dimension is increased by 4 inches, while the other dimension is decreased by 2. The area of the resulting rectangle is 55 square inches. Find the area of the orginial square

asked by Austin on October 28, 2018
9. ### math

I ONLY NEED HELP WITH PART C I DID THE REST ON MY OWN plz help Shane drew 3 squares with each side equal to n units. For each square, he does something different to it according to each part below. Part A: Shane increased the

asked by Kemari on August 12, 2014
10. ### math

if the sides of a square are increased by 5 cm the area of the new square is four times the area of the original square. Find the length of a side of the original square.

asked by jill on January 2, 2011

More Similar Questions