SOLUTION: Please help!
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 5 cm, what are the dimensions of the rectangle in centimeters rounded
Algebra.Com
Question 181915: Please help!
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 5 cm, what are the dimensions of the rectangle in centimeters rounded to the nearest tenth?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 5 cm, what are the dimensions of the rectangle in centimeters rounded to the nearest tenth?
.
You must apply Pythagorean theorem:
Let w = width
then
w+1 = length
.
Pythagorean theorem:
w^2 + (w+1)^2 = 5^2
w^2 + w^2+2w+1 = 25
2w^2+2w+1 = 25
2w^2+2w-24 = 0
w^2+w-12 = 0
(w-4)(w+3) = 0
.
w = {4,-3}
Throw out the negative value...
w = 4.0 cm (width)
.
Length:
w+1 = 4+1 = 5.0 cm (length)
.
RELATED QUESTIONS
help me someone please!!
The length of a rectangle is 1 cm longer than its width. If... (answered by checkley75)
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle (answered by vertciel)
The length of a rectangle is 2 cm longer than its width. If the diagonal of the rectangle (answered by jorel1380)
section 9.6 # 46
Geometry. The length of a rectangle is 1 cm longer than its width.... (answered by jim_thompson5910)
Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the (answered by venugopalramana)
Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the (answered by venugopalramana)
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle (answered by darq)
Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the (answered by ankor@dixie-net.com)
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle (answered by stanbon)