The area of a rectangular playground is 16 1/5 square feet. The width of of the playground measures 7 1/4 feet. What is the length of the playground
we know that
the area of a rectangle is equal to
A=L*W
where
L is the length and W is the width
In this problem we have
A=16 1/5 ft^2
W=7 1/4 ft
so
Convert mixed number to an improper fractions first
A=16 1/5=16+1/5=81/5 ft^2
W=7 1/4=7+1/4=29/4 ft
substitute the given values in the formula
81/5=L*(29/4)
solve for L
Multiply both sides by 20
4*81=L*29*5
324=145*L
L=324/145 ft
Convert to mixed number
324/145=290/145+34/145=2+34/145=2 34/145
therefore
the nswer is
The length is 2 34/145 ft