Question

Jim is enclosing a rectangular garden with 170 feet of fencing. The length of the garden is 10 feet more than twice it's width, w. Determine the area of the garden.

Answer 1

Answer: Area = 1500 feet^2

Step-by-step explanation:

Jim is enclosing a rectangular garden with 170 feet of fencing. This means the perimeter of the rectangular garden =170 feet

Let length = x

Let width = w

The length of the garden,x is 10 feet more than twice it's width, w. This means

x =10+2w---------1

Perimeter = 2x+2w =170---------2

Putting equation 1 in equation 2,

2(10+2w) +2w= 170

20 + 4w +2w = 170

6w = 170-20=150

w = 150/6

= 25feet

Put w=25 in equation 1

x =10 +2×25= 10+50=60 feet

Area = length × width = x×w

= 60×25=1500feet^2