The area of a rectangle is equal to the product of the length of the rectangle times its width. Find the area of a rectangle that has a length of $4 \frac { 2 } { 5 }$ miles and a width of $5 \frac { 1 } { 5 }$ miles. The area will be in square miles.
A) $22 \frac { 12 } { 25 }$ sq mi
B) $22 \frac { 11 } { 25 }$ sq mi
C) $22 \frac { 23 } { 25 }$ sq mi
D) $22 \frac { 22 } { 25 }$ sq mi
E) $22 \frac { 24 } { 25 }$ sq mi

Question

Quizplus · Accepted Answer

First, convert the mixed numbers to improper fractions: $4 \frac{2}{5} = \frac{22}{5}$ and $5 \frac{1}{5} = \frac{26}{5}$. Then, multiply these fractions to find the area: $\frac{22}{5} \times \frac{26}{5} = \frac{572}{25}$, which simplifies to $22 \frac{22}{25}$ square miles.

The Area of a Rectangle Is Equal to the Product 4254 \frac { 2 } { 5 }452​

The Area of a Rectangle Is Equal to the Product $4 \frac { 2 } { 5 }$