Question

A rectangular field is two

times as long as it is wide. If the perimeter of the field is 180

​yards, what are the​ field's dimensions?

Answer 1

Let's call the width of the field "x". Then, according to the problem, the length of the field is 2 times the width, or 2x.

The formula for the perimeter of a rectangle is:

perimeter = 2(length + width)

So, using the values we just found, we can write:

180 = 2(2x + x)

Simplifying the right side:

180 = 2(3x)

180 = 6x

Dividing both sides by 6:

30 = x

So the width of the field is 30 yards.

Using the fact that the length is 2 times the width, we can find the length:

length = 2x = 2(30) = 60

So the dimensions of the field are 30 yards by 60 yards.