Problema Solution
find the dimensions of a persian rug whose perimeter is 28 feet and whose area is 48 square feet.
Answer provided by our tutors
let 'w' represent the width and 'l' represent the length
perimeter = 2(length + width)
area = length * width
28 = 2(l+w)
48 = lw, so l=48/w
substituting '48/w' for 'l' in the first equation:
28 = 2((48/w) + w)
solving for 'w' we have:
w = { 8, 6 }
The dimensions of the rug are 8 x 6 feet.