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4 votes
the area of a rectangular yard is 13,520ft^2. if the length is five times the width,what are the dimensions of the yard?

User RAGOpoR
by
7.2k points

1 Answer

6 votes

To answer this question, you must write an equation that reflects what is being asked:

You know:

  • area = length × width
  • A = 13520 ft²
  • L = 5w
  • w = w

Plug in the information you've identified into the area equation:

13520 = 5w × w

Now simplify by combining like terms:

5w × w = 5w²

13520 = 5w²

Divide 5 from both sides:

2704 = w²

Take the square root of both sides to isolate w:

√2704 = √w²

52 = w

Now you have the width! Find the length by plugging in 52 into L = 5w:

L = 5w

L = 5 (52)

L = 260

The dimensions of the yard are 260ft by 52ft

L= 260 ft

W = 52 ft

User YelizavetaYR
by
7.8k points
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