Question

timothy has a fenced - in garden in the shape of a rhombus. the length of the longer diagonal is 24 feet, and the length of the shorter diagonal is 18 feet. what is the length of one side of the fenced - in garden? 12 ft 15 ft 21 ft 108 ft

Explanation:

Step1: Recall rhombus property

The diagonals of a rhombus bisect each other at right - angles. So the lengths of the half - diagonals are $\frac{24}{2}=12$ feet and $\frac{18}{2}=9$ feet.

Step2: Apply Pythagorean theorem

Let the side of the rhombus be $s$. Using the Pythagorean theorem $s=\sqrt{12^{2}+9^{2}}$. Calculate $12^{2}=144$ and $9^{2}=81$. Then $12^{2}+9^{2}=144 + 81=225$. So $s=\sqrt{225}=15$ feet.

Answer:

B. 15 ft