SOLUTION: Two rectangles have the same area of 480 cm^2.the diffrence between their lengths is 10cm and the diffrence between their widths is 4cm . calculate the dimension of the rectangles

Question 329653: Two rectangles have the same area of 480 cm^2.the diffrence between their lengths is 10cm and the diffrence between their widths is 4cm . calculate the dimension of the rectangles
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two rectangles have the same area of 480 cm^2.the diffrence between their lengths is 10cm and the difference between their widths is 4cm . calculate the dimensions of the rectangles
----
Dimensions of 1st rectangle: L,W
Dimensions of 2nd rectangle: L+10; W+4
===
LW = 480
(L-10)(W+4) = 480
---
LW = LW+4L - 10W - 40
4L = 10W +40
2L = 5W + 20
L = (5/2)W + 10
---
But LW = 480
So, W = 480/L
---
L = (5/2)(480/L)+10
L = 1200/L + 10
L^2 - 10L - 1200 = 0
(L-40)(L+30) = 0
Positive solution:
L = 40 cm (length)
Then 480/L = W = 120 cm (width)
=====================================
Cheers,
Stan H.
RELATED QUESTIONS
Two rectangles have the same area of 480 cm^2.the diffrence between their lengths is 5cm... (answered by ankor@dixie-net.com)

The diffrence between New York and San Fransico is about 2930 miles, what is the same... (answered by Alan3354)

what is the diffrence between unit and identity matrix? (answered by Edwin McCravy)

EASY PROBLEM Two rectangles have the same area of 120m2. the diffrence of thier length... (answered by solver91311)

what is the diffrence between y=2 and x=3??? help... (answered by ewatrrr)

Two fractions are inserted between 1/4 and 1/2 so that the diffrence between any two... (answered by pwac)

two cars start from two twons 200 miles apart and travel towards each other. they pass... (answered by stanbon)

the diffrence between two angles is 20 degree.if these angles are complementary. find... (answered by ewatrrr)

The sum of twice a number and 4 less than the number is the same as the diffrence between (answered by ewatrrr)