Please show me step by step if possible:

Find dimensions of a rectanglar rug whose perimeter is 28 ft and whose area is 45 ft².

The length (longer side) equal ___ft and width (shorter side) equal ____ft.

1 answer

L = 45/W

2L + 2W = 28

Substitute 45/W for L in second equation and solve for W. Insert that value into the first equation and solve for L. Check by inserting both values into the second equation.