Question

The area of the sandbox is 56 2/3 square feet. The width is 8 1/2 feet. What is the length? Hint: Divide area by length

Answer 1

20/3 ft or 6 2/3 ft

Explanation:

A = 56 2/3 sq ft

W = 8 1/2 ft

L = ?

A = LW

L = A/W

`L = (A)/(W)`

`L = (56~(2)/(3)~sq~ft)/(8~(1)/(2)~ft)`

Change the mixed numbers into fractions.

`a(b)/(c) = (ac + b)/(c)`

`L = ((56 * 3 + 2)/(3))/((8 * 2 + 1)/(2))`

`L = ((170)/(3))/((17)/(2))`

`L = (170)/(3) / (17)/(2)`

`L = (170)/(3) * (2)/(17)`

`L = (170 * 2)/(3 * 17)`

`L = (17 * 10 * 2)/(3 * 17)`

`L = (10 * 2)/(3)`

`L = (20)/(3)`

Answer: 20/3 ft or 6 2/3 ft