Answer:
Perimeter of rectangle = ⇒
feet
Step-by-step explanation:
Given:
Length of a rectangular sand box = ![5\frac{1}{3}\ feet](https://tex.z-dn.net/?f=5%5Cfrac%7B1%7D%7B3%7D%5C%20feet)
Width of the box = ![3\frac{3}{4}\ feet](https://tex.z-dn.net/?f=3%5Cfrac%7B3%7D%7B4%7D%5C%20feet)
Perimeter of a rectangle = ![2(l+w)](https://tex.z-dn.net/?f=2%28l%2Bw%29)
where
represents length of rectangle and
represents width of the rectangle.
Substituting values given for length and width.
Perimeter of sand box = ![2(5\frac{1}{3}+3\frac{3}{4})\ feet](https://tex.z-dn.net/?f=2%285%5Cfrac%7B1%7D%7B3%7D%2B3%5Cfrac%7B3%7D%7B4%7D%29%5C%20feet)
Simplifying by adding fractions:
⇒
(Adding whole numbers and fractions separately)
⇒
feet
Whole number 8 can be written as ![\frac{8}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B1%7D)
⇒
feet
To add fractions we take LCD for the denominators 3,4,1.
LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.
Making denominators =12 by multiplying numerator an denominator with the corresponding numbers
⇒
feet
⇒
feet
Then we simply add numerators.
⇒
feet
⇒
feet
⇒
feet
⇒
feet
Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.
⇒
feet
Simplifying fractions to simplest form.
⇒
feet
Perimeter =⇒
feet (Answer)