Question

question 19 of 28
a rectangular garden that measures 6 feet by 8 feet is roped off to form a right triangle. what is the length of the rope?
a. 100 ft
b. 5 ft
c. 28 ft
d. 10 ft

Explanation:

Step1: Identify the formula

Use the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $a = 6$ and $b = 8$, and $c$ is the length of the rope (hypotenuse).

Step2: Substitute values

$6^{2}+8^{2}=c^{2}$, so $36 + 64=c^{2}$, which simplifies to $100=c^{2}$.

Step3: Solve for $c$

Taking the square - root of both sides, $\sqrt{c^{2}}=\sqrt{100}$, and $c = 10$.

Answer:

D. 10 ft