Question

The two identical rectangular doors of a barn have

glass panes in the top half, and each bottom half is
made of solid wood, as shown below.

Which of the following measurements is closest to
x, the length of the diagonal brace on the bottom
half of each door?

A. 6 1/2 ft.
B. 11 ft.
C. 8 ft.
D. 5/12 ft

Answer 1

C

Explanation:

The height of the door is given as 10 feet. The bottom 1/2 has a height of 5 feet.

The width of one door = 12/2 = 6 feet.

The value for x^2 = 5^2 + 6^2

x^2 = 25 + 36

x^2 = 61

sqrt(x^2) = sqrt(61)

x = 7.81

The closest value = 8