Question

A land mass is roughly in the shape of a rectangle whose perimeter is 1180 miles. the width is 110 miles less than the length. find the length and the width?

Answer 1

Answer: length = 350 miles, widht = 240 miles

Step-by-step explanation:

1) Shape: rectangle

2) dimensions:

length = l
width = w

3) Formula of the perimeter of a rectangle, p = 2 * l + 2 * w

4) Data:

p = 1180 miles

length = x

width = x - 110 miles

5) Equation: p = 2x + 2(x - 110)

2x + 2(x - 110) = 1180

2x + 2x - 220 = 1180

4x = 1180 + 220

4x = 1400

x = 1400 / 4

x = 350

=> length = 350

and width = 350 - 110 = 240

6) Verification:

p = 2*length + 2 * width

1180 = 2 * 350 + 2*240

1180 = 700 + 480

1180 = 1180 => check.

Answer: length = 350 miles, widht = 240 miles