SOLUTION: A rectangle that is the ratio of length to width is 3:2. If the area is 125cm^2 what are the lengths of the sides?

Algebra.Com
Question 809039: A rectangle that is the ratio of length to width is 3:2. If the area is 125cm^2 what are the lengths of the sides?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A rectangle that is the ratio of length to width is 3:2. If the area is 125cm^2 what are the lengths of the sides?
---------
3:2 is the same as 3x:2x where 3x is length and 2x is width.
---------
Equation::
(3x)(2x) = 125 cm^2
-----
6x^2 = 125
x^2 = 20.8333..
====
x = 4.5644..
----
length = 3x = 13.69 cm
----
width = 2x = 9.13
----------------------
Cheers,
Stan H.
=================

RELATED QUESTIONS

The sides of a rectangle are in the ratio 3:4. If the area of the rectangle is 300 square (answered by Alan3354)
The ratio of the width to the length of a rectangle is 2:3.if the area is 216sq cm, what... (answered by tommyt3rd)
The sides of a triangle are in the ration 1:2:1. The perimeter of a triangle is 125cm.... (answered by Edwin McCravy,solver91311,ikleyn)
1. A rhombus with diagonals of lengths 18 and 30. What are the area??? 2. An isosceles (answered by dabanfield)
The perimeter of a rectangle is 36. The ratio of the lengths of the sides is 2 : 7. What... (answered by dabanfield)
The perimeter of a rectangle is 36. The ratio of the lengths of the sides is 2:7. What... (answered by rfer)
what is the perimeter of a rectangle that has an area of 12,150 square feet? the ratio... (answered by dabanfield)
The ratio of the sides of a particular rectangle are 3:2. What is the length of each side (answered by solver91311)
The sides of a rectangle are in the ratio of 3:2. What is the length of each side if the... (answered by oberobic)