A certain field is a rectangle with a perimeter of 858


feet. The length is 191

feet more than the width. Find the width and length of the rectangular field.

1 answer

Let's start by using the formula for the perimeter of a rectangle: P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

We know the perimeter is 858, so we can write:

858 = 2L + 2W

Next, we know that the length is 191 feet more than the width. We can write:

L = W + 191

Now we can substitute L = W + 191 into the perimeter formula:

858 = 2(W + 191) + 2W

Simplifying this equation, we get:

858 = 4W + 382

Subtracting 382 from both sides, we get:

476 = 4W

Dividing both sides by 4, we get:

W = 119

Now that we know the width is 119 feet, we can use our equation for L in terms of W to find the length:

L = W + 191 = 119 + 191 = 310

Therefore, the width of the rectangular field is 119 feet and the length is 310 feet.