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.
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