Homework Help: Algebra

Posted by Joseph on Tuesday, January 29, 2013 at 5:12pm.

A rectangle was 25 cm longer than it was wide. A new rectangle was formed by decreasing the length by 6 cm and decreasing the width by 5 cm. The area of the new rectangle was 585 cm squared. Find the dimensions of the original rectangle.

Algebra - Reiny, Tuesday, January 29, 2013 at 5:38pm
original:
width --- x
length -- x+25

new one:
width --- x-5
length --- x+25-6 = x+19

(x-5)(x+19) = 585
x^2 + 14x - 95 = 585
x^2 + 14x - 680 = 0
(x-20)(x+34) = 0
x = 20 or x is a negative, which would be bogus

original
width is 20 and length is 45

Answer this Question

Related Questions

Algebra/geometry - a rectangle has a width of 4 cm less than it's length. ...
algebra , help - Can someone help me set up the equations thanks. Directions: ...
math,correction - can someone correct this for me thanks. The length of a ...
algebra - The length of a rectangle is 1 cm longer than its width. If the ...
Geometry - How do I set this up to work it? The length of a rectangle is 1 cm ...
Algebra 1 - Okay one last one that I've spent all night truing to figue out...
math - the length of a rectangle exceeds its breadth by 4cm. The length and ...
grade 6 math - The shorter side of a rectangle is 20 m. Decreasing the longer ...
Math Ratios - A wire is bent into a rectangle. The ratio of the length of the ...
Algebra 1 - This is a five step problem: The width of a rectangle is 6 cm less ...

For Further Reading

First Name:
School Subject:
Answer: