Question

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. 28 ft B. 5 ft C. 100 ft D. 10 ft

Answer 1

Answer:

Option D, 10 feet

Step-by-step explanation:

A rectangular garden that measures 6 feet by 8 feet. Garden is to be roped off to form a right angled triangle.

To make a right triangle rope should be tied diagonally.

Therefore, length of the rope = $\sqrt{Length^{2}+width^{2}}$

                                                = $\sqrt{6^{2}+8^{2}}$

                                                = $\sqrt{36+64}$

                                                = $\sqrt{100}$

                                                = 10 feet.

Option D 10 feet. is the answer.

Answer 2

Rope(r)
By using Pythagoras:
r^2 = 8^2 + 6^2
r^2 = 64 + 36
r^2 = 100
r = square root of 100
r = 100ft
The answer is C. 100ft