Question

SIXTY POINTS

Answer 1

Perimeter
2l + 2w = 27
l + w = 13.5

Area
l*w = 35

(35 / l) + l = 13.5
 35 + l^2 = 13.5l
l^2 - 13.5l + 35 = 0

Using this equation, we can find the length first
then width can be found

Answer 2

Let the width be W and length be L 

LW = 35 

L = 35/W 

Perimeter = 2 ( Length + Width ) 

27 = 2 ( 35/W + W ) 

13.5 = (35+ W^2) / W 

W^2 - 13.5W + 35 = 0 

W^2 - 10W - 3.5W +35 = 0 

W ( W -10) - 3.5 ( W - 10) = 0 

( W-3.5) ( W-10) = 0 

W = 3.5 or 10 

ANSWER Width = 3.5' Length = 10'