SOLUTION: A framed poster has a length of 28 inches and a perimeter of 88 inches. A similar poster has a perimeter of 66 inches. Find the area of the similar poster.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A framed poster has a length of 28 inches and a perimeter of 88 inches. A similar poster has a perimeter of 66 inches. Find the area of the similar poster.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1136703: A framed poster has a length of 28 inches and a perimeter of 88 inches. A similar poster has a perimeter of 66 inches. Find the area of the similar poster.
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

If a rectangle has the perimeter of 88 inches and the length of 28 inches, then its width is  %2888-2%2A28%29%2F2 = 16 inches.


Then similar rectangle has 

    - the length of  28%2A%2866%2F88%29 = 28%2A%283%2F4%29 = 7*3 = 21 inches  and

    - the width  of  16%2A%283%2F4%29 = 12 inches.


The area of the smaller rectangle is  21*12 = 252 square inches.