SOLUTION: The perimeter of a rectangular garden is 86 Yards. The width of th garden is 5 yards less than twice the length. Find the width of the garden Whatbis the area of the garden?

Algebra ->  Rectangles -> SOLUTION: The perimeter of a rectangular garden is 86 Yards. The width of th garden is 5 yards less than twice the length. Find the width of the garden Whatbis the area of the garden?      Log On


   



Question 953327: The perimeter of a rectangular garden is 86 Yards.
The width of th garden is 5 yards less than twice the length.
Find the width of the garden
Whatbis the area of the garden?

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter = 2W + 2L In this problem:
2W+2L = 86 And:
W = 2L - 5 Let's put this value of W in the first equation:
2(2L - 5)+ 2L = 86 Multiply on the left
4L - 10 + 2L = 86 Add L's on left and add 10 on both sides:
6L = 96 Divide both sides by 6:
L = 16 And W= 2(16)-5 = 27
Proof: 2(27)+2(16) = 86; 54+32= 86 We have the correct answer.
Now the area:
A = W*L; A = 27*16= 432 yds^2