Question

Lincoln is building a wooden garage door in the shape of a rectangle with a width of 16 ft and a height of 8 feet. Lincoln is going to place two boards in the shape of an x on the door. How many feet of materials will he need for the X?

Answer 1

Answer:

Length of material needed = 35.8 feet

Step-by-step explanation:

Door of the wooden garage is in the shape of a rectangle with dimensions 16 ft × 8 ft.

Lincoln is going to place two boards in the shape of an X on the door.

From the picture attached,

Diagonals of the rectangular door will be equal in measure.

Therefore, length of the material = 2×(Diagonal of the rectangle)

By applying Pythagoras theorem in the rectangle,

(Diagonal)² = 16² + 8²

Diagonal = $\sqrt{256+64}$ = 17.89

Therefore, length of material = 2 × 17.89

                                                = 35.77

                                                ≈ 35.8 feet