Jason has 144 feet of material to build a fence around a rectangular garden on his property. If the width of the fence must be 9 feet, what is the length of the fence in yards if he uses all 144 feet of material?

126 yards
63 yards
42 yards
21 yards

Question

Jason has 144 feet of material to build a fence around a rectangular garden on his property. If the width of the fence must be 9 feet, what is the length of the fence in yards if he uses all 144 feet of material?

126 yards
 63 yards
 42 yards
 21 yards

itzpxyton · Answer

i think its 42 or 63 yards

Shadow · Answer

Let's draw a rectangle

Shadow · Answer

|dw:1603321680042:dw||

The perimeter of the rectangle is:
$$P = 2l + 2w $$

Shadow · Answer

If w = 9, then we get
$$144 = 2l + 2(9)$$

We can say 144 = P since he uses 'all of the fencing.'

Shadow · Answer

You now only have one variable so you can solve for l, which is the length

Shadow · Answer

$$144 = 2l + 18$$
Subtract 18 from both sides
$$126 = 2l$$
$$63 = l$$

Shadow · Answer

The last step was dividing both sides by 2

itzpxyton · Answer

b would be my answer?

Shadow · Answer

Yes

itzpxyton · Answer

Thank you for the help. I apperciate it.

Shadow · Answer

You're welcome