The satellite photos seemed to indicate
that the target, a rectangular warehouse,
was 20 feet longer than 3 times its width.
If the perimeter of the warehouse was 840
feet, what was the warehouse's width?
Remember, the perimeter of a rectangle is
the sum of all its sides.

the warehouse's width is 100 feet.

Step-by-step explanation:

Let L represent the length of the rectangular warehouse.

Let W represent the width of the rectangular warehouse.

The rectangular warehouse was 20 feet longer than 3 times its width. This means that

L = 3W + 20

The perimeter of a rectangle is

the sum of all its sides. Therefore, the formula for determining the perimeter of a rectangle expressed as

Perimeter = (L + W)

If the perimeter of the warehouse was 840 feet, it means that

2(L + W) = 840

Dividing through by 2, it becomes

L + W = 420- - - - - - - - 1

Substituting L = 3W + 20 into equation 1, it becomes

3W + 20 + W = 420

4W = 420 - 20

4W = 400

W = 400/4 = 100

750 miles. i'll create two functions a(m) for plan a, and b(m) for plan b. since plan a has a flat fee, plus a mileage fee, the function is: a(m) = 75 + 0.20m since plan b only has a mileage fee, it's function is: b(m) = 0.30m since we're looking for some mileage where both plans cost the same, let's set them equal to each other, then solve for m. so 75 + 0.20m = 0.30m 75 = 0.10m 750 = m so the rental fee for both plans will be equal at 750 miles.