Question

A rectangular field is three times as long as it is wide. If the perimeter of the field is 440 feet what are the dimensions of the field?

A) write an equation you can use to answer they given question. Let W be the width of the field. Do not solve the equation yet.

B) use your equation to find the dimensions of the field.

Answer 1

Explanation:

Let W be the width of the field. Since the length of the field is three times as long as it is wide, then the length of the field is 3W.

The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. Substituting L = 3W into this formula gives:

P = 2(3W) + 2W = 8W

We know that P = 440 feet, so we can solve for W:

440 = 8W

W = 55

Therefore, the width of the field is 55 feet and the length of the field is 165 feet.

I hope this helps you with your calculations!