Question

The area of a rectangle is equal to the length of the rectangle times its width. Find the area of a rectangle that has a length of 3 1/5miles and a width of 5 1/2miles. The area will be in square miles..

Answer 1

The area of the rectangle with a length of 3 1/5 miles and a width of 5 1/2 miles is calculated by converting these to improper fractions, multiplying them, and simplifying to get 17 3/5 square miles.

Step-by-step explanation:

To find the area of a rectangle, you multiply the length by the width. In this problem, we have a rectangle with a length of 3 1/5 miles and a width of 5 1/2 miles. First, we need to convert these mixed numbers into improper fractions to make the multiplication easier.

3 1/5 is equal to 16/5 (because 3 * 5 + 1 = 16) and 5 1/2 is equal to 11/2 (because 5 * 2 + 1 = 11).

Now, we multiply these two improper fractions:
16/5 * 11/2 = 176/10. To simplify, we divide both numerator and denominator by the greatest common divisor which is 2, resulting in 88/5. Finally, we convert it back to a mixed number which gives us 17 3/5 square miles. This is the area of the rectangle.