Question

The length of a rectangle is 3 more inches than the width. Find the length and width of the rectangle. The perimeter of the rectangle is 54 Inches. Write an equation that represents the situation. Explain any variable used.

Answer 1

Width is 8 and the Length is 19.

Explanation:

x = width

2x + 3 = length {length is 3 more than twice width}

Perimeter of a rectangle is 2(width) + 2(length)

2x + 2(2x + 3) = 54 {perimeter = 2(width) + 2(length)}

2x + 4x + 6 = 54 (used distributive property)

6x + 6 = 54 (combined like terms)

6x = 48 (subtracted 6 from both sides)

x = 8 (divided both sides by 6)

2x + 3 = 19 (substituted 8, in for x, into 2x + 3)

The width = 8 and length = 19

Best of luck,

Echy~