Question

question 25 of 27 a rectangular barn door is being constructed using its diagonals, as illustrated in the image below. the doorknob is placed at the intersection of the 2 diagonals. what is the length of x if each diagonal measures 10 feet? image of rectangle with diagonals intersecting a. 20 ft b. 15 ft c. 5 ft d. 10 ft

Explanation:

Step1: Recall rectangle diagonal property

In a rectangle, the diagonals are equal and bisect each other. So the intersection point of the diagonals divides each diagonal into two equal parts.

Step2: Calculate length of \( x \)

Given each diagonal is 10 feet. Since the diagonals bisect each other, \( x=\frac{10}{2}=5 \) feet.

Answer:

C. 5 ft