Question

Recall that the permeter of a rectangle is p=2(w+l) where w is the width and l is the length. The length of a rectangle is 17 feet more than the width. Of the perimeter is 94 feet then what is the lenth of the rectangle in the feet

Answer 1

Width = 15 feet

Length = 32 feet

Explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width = x feet

Length = (x + 17) feet

Perimeter = 94 feet

Perimeter of a rectangle = 2(length + width)

94 = 2{(x + 17) + x}

94 = 2(x + 17 + x)

94 =2(2x + 17)

94 = 4x + 34

94 - 34 = 4x

60 = 4x

x = 60/4

x = 15

Width = x feet = 15 feet

Length = (x + 17) feet

= 15 + 17

= 32 feet