Problema Solution
A land mass is roughly in the shape of a rectangle whose perimeter is 1040 miles. The width is 100 miles less than the length. Find the length and the width.
Answer provided by our tutors
Let
P = 1040 mi is the perimeter
W = the width
L = the length
W = L - 100 (width is 100 mi less that the length)
P = 2L + 2W (the formula for perimeter of rectangle)
2L + 2W = 1040
We have the following system of equations:
W = L - 100
2L + 2W = 1040
........
click here to see the system of equations solved for W and L
........
W = 210 mi
L = 310 mi
The length is 310 miles while the width is 210 miles.