Question

the length of a rectangle is 5 meters longer than the width. Find the length and width if the perimeter is 54meters

Answer 1

Width = 11m

Length = 16m

Explanation:

Let x = the width of the rectangle.

Width = x

Length = x + 5

Perimeter = sum of all sides (W + W + L + L).

54 = x + x + x + 5 + x + 5

Simplify:

54 = 4x + 10

Subtract 10 from both sides of the equation:

44 = 4x

Divide each side by 4:

x = 11

Width = 11m

Length = 11 + 5 = 16m

Optionally verify your answer:

11 + 11 + 16 + 16 = 54