Question

A rectangular wall has dimensions of 8 feet by 12 feet. A brace boarc is used to support the wall from one vertex of the wall to the opposite vertex, along the diagonal of the rectangle. About how long is the brace board?

A 14.4
B 14
C 15
D 15.4

Answer 1

The diagonal of the rectangular wall with dimensions 8 feet by 12 feet is approximately 14.4 feet. Therefore, the correct option is A.14.4 feet

Step-by-step explanation:

The diagonal of a rectangle can be found using the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the diagonal is equal to the sum of the squares of the lengths of the other two sides.

In this case, the diagonal of the rectangular wall with dimensions 8 feet by 12 feet can be found as follows:

Diagonal^2 = (8^2) + (12^2)

Diagonal^2 = 64 + 144

Diagonal^2 = 208

Therefore, to find the length of the diagonal, we take the square root of 208:

Diagonal = √208

Diagonal ≈ 14.4 feet.

Therefore, the correct option is A.14.4 feet