Question

The perimeter of a child's rectangular sandbox is 18 feet. Part A:if the length of the sandbox is one foot longer than the width, write an equation that can find the length and width of the sandbox. Part B:using your equation from part a, find the dimensions of the Childs sandbox. Show your work

Answer 1

Length = 5 feet

Width = 4 feet

Explanation:

Perimeter of the sandbox = 18 feet

Perimeter of a rectangle = 2(length + width)

the length of the sandbox is one foot longer than the width

Let

Width = x

length = x + 1

Perimeter of a rectangle = 2(length + width)

18 = 2{(x+1) + x}

18 = 2{x + 1 + x)

18 = 2(2x + 1)

18 = 4x + 2

4x = 18 - 2

4x = 16

Divide both sides by 4

x = 16/4

= 4

Width = x = 4 feet

length = x + 1

= 4 + 1

= 5 feet