Consecutive Integer Problems Linear

Question

The length and width of a rectangle are consecutive integers. The Perimeter of the rectangle is 114 feet. Find the length and width of the rectangle.

Answer 1

If they're consecutive integers, then the length is 1 larger than the width and L = W + 1

P = 2L + 2W Then 114 = 2(W + 1) + 2W -> 114 = 2W + 2 + 2W -> 114 = 2 + 4W

4W = 112, so W = 28 and L = 29

Check: 28 + 28 + 29 +29 = 114

Answer 2

4 sides, so divide by 4: 114/4 = 28 1/2

add and subtract 1/2 to get integers: 28 and 29

Lenght = 29 ft, Width = 28 ft