Your rectangular lawn has an area of 288 square feet. The lawn is twice as long as it is wide. How much fencing do you need?

Question

1. This is for algebra two. Please help, thank you. 

Answer 1

For a rectangle A = L * W.

 

Given: A = 288 ft² and  L = 2 * W (Lawn is twice as long as it is wide).

 

Substitute the givens into the Area formula:

 

288   =    2 * W   *  W

  A    =        L      *  W

 

288 = 2*W²

 

Divide by 2 on both sides:

 

144 = W²

 

Take the square root of both sides:

 

12 = W

 

Given that L = 2 * W  => L = 24

 

P (amount of fencing needed) for a rectangle = 2*L + 2*W

 

P = 2*(24) + 2*(12) =  72 feet.

 

Let me know if you need any more help!

 

Jeff Negus

Tutoring In An Instant

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