Question

Alejandra wants to put a fence around a rectangular garden in her backyard. The measurements for the garden are 11(2)/(3) feet by 7(1)/(3) feet. How much fencing material is needed to put a fence all the way around the garden?

Answer 1

To find the amount of fencing material needed to put a fence all the way around the rectangular garden, calculate the perimeter of the garden by adding up all the sides. The perimeter of the garden is 114/3 feet.

Step-by-step explanation:

To find the amount of fencing material needed to put a fence all the way around the rectangular garden, you need to calculate the perimeter of the garden. The perimeter is the sum of all the sides of the rectangle. In this case, the length of the garden is 11(2)/(3) feet and the width is 7(1)/(3) feet.

To convert the mixed numbers to improper fractions, multiply the whole number by the denominator and add the numerator. So, 11(2)/(3) feet is equal to 11(2)/(3) = (3*11 + 2)/(3) = 35/3 feet, and 7(1)/(3) feet is equal to 7(1)/(3) = (3*7 + 1)/(3) = 22/3 feet.

Adding the sides, the perimeter of the garden is (35/3 + 22/3) + (35/3 + 22/3) = 57/3 + 57/3 = 114/3 feet.

Therefore, the amount of fencing material needed to put a fence all the way around the garden is 114/3 feet.