Question

The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and 11 3/4 feet. Find the length (in ft) of the fence needed to enclose the garden. (Enter your answer as a simplified mixed number.)

Answer 1

Given :

The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and

11 3/4 feet.

To Find :

The length (in ft) of the fence needed to enclose the garden.

Solution :

First simplifying the given mixed numbers :

8 1/3 = 25/3 feet

17 1/4 = 69/4 feet

17 1/2 = 35/2 feet

11 3/4 = 47/4 feet

Now, length of fence needed to enclose the garden is :

$L = \dfrac{25}{3}+ \dfrac{69}{4}+ \dfrac{35}{2}+ \dfrac{47}{4}\\\\L = \dfrac{(25\times 4)+ ( 69\times 3) + ( 35\times 6) + (47 \times 3 )}{12}\\\\L = \dfrac{658}{12}\ feet$

Hence, this is the required solution.