SOLUTION: The length of a rectangle is 4 centimeters less than its width. What are the dimensions of the rectangle if its area is 252 square centimeters I need to find: length of rectang

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Question 1161369: The length of a rectangle is 4 centimeters less than its width. What are the dimensions of the rectangle if its area is 252 square centimeters
I need to find:
length of rectangle
width of rectangle

Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

if the length of a rectangle is less than its width, we have
....eq.1
if its area is , we have
.....substitute from eq.1



=>take only positive solution
....eq.1


the dimensions of the rectangle are: by


Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The length of a rectangle is 4 centimeters less than its width. What are the dimensions of the rectangle if its area is 252 square centimeters
I need to find:
length of rectangle
width of rectangle
=======================
Find a pair of factors of 252 that differ by 4.
Since the difference is 4 and the product is an even number, both factors are even numbers.
--------
Or,
You can make a quadratic equation, then to factor it, you find a pair of factors of 252 that differ by 4.
===============
If area is some other value, eg, 256 or 299 sq cms, then you have to use a quadratic equation.

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