SOLUTION: The area of a square, expressed in square centimeters, is 165 cm greater than its perimeter, expressed in centimeters. What is the length of a side of the square?

Question 245212: The area of a square, expressed in square centimeters, is 165 cm greater than its perimeter, expressed in centimeters. What is the length of a side of the square?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The area of a square is the measure of a side squared. The perimeter of a square is 4 times the measure of a side, so:

Let

represent the measure of a side, then:

or, in standard form:

Solve the factorable quadratic. Discard the negative root. The positive root is the measure of the side of the described square.

John

RELATED QUESTIONS
the area of a square, expressed in square inches, is 165 in inches greater than its... (answered by ankor@dixie-net.com)

1)find three consecutive positive even integers such that the product of the first and... (answered by ewatrrr)

The length of a rectangle is 5cm, and its perimeter 14 cm. What is the area of the... (answered by stanbon)

the length of a rectangle is 5 centimeters more than its width. if the perimeter of the... (answered by Stitch)

The perimeter of a square is i inches. What is the perimeter expressed in... (answered by rapaljer)

A square and rectangle have equal area. The rectangle is 32 cm by 18 cm. What is the... (answered by solver91311)

The number of centimeters in the perimeter of a semicircle is numerically the same as... (answered by ankor@dixie-net.com)

The length of a rectangle with area 54 square centimeters is 9 centimeters. What is the... (answered by ikleyn)

a diagonal divides a square into two triangles each of which an area of 18 square... (answered by ewatrrr)