SOLUTION: Find the dimensions of a retangle whose permeter is 26 meters and whose area is 40 square meters.

Algebra ->  Rectangles -> SOLUTION: Find the dimensions of a retangle whose permeter is 26 meters and whose area is 40 square meters.      Log On


   

Question 50272This question is from textbook
: Find the dimensions of a retangle whose permeter is 26 meters and whose area is 40 square meters. This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
width = w
length = l
Perimeter:
2l+%2B+2w+=+26
2l+=+26+-+2w
l+=+13+-+w
Area:
lw+=+40
Plug:
%2813+-+w%29w+=+40
13w+-+w%5E2+=+40
0+=+w%5E2+-+13w+%2B+40
0+=+w%5E2+-+5w+-+8w+%2B+40
0+=+w%28w+-+5%29+-+8%28w+-+5%29
0+=+%28w+-+8%29%28w+-+5%29
w = 8 or w = 5
plug:
lw+=+40
8l+=+40
l+=+5
so: either 8 x 5 or 5 x 8
Since the length is longer than the width:
length = 8 meters
width = 5 meters