Question

Will mark brainliest, please answer:)

Answer 1

Answer:

She should cut each diagonal piece 10 ft long.

Step-by-step explanation:

The bottom face of the box is a rectangle 8 ft by 6 ft.

A diagonal of a rectangle divides the rectangle into two congruent right triangles. With a right triangle you can use the Pythagorean theorem.

a = length of rectangle = leg of right triangle

b = width of rectangle = other leg of right triangle

c = diagonal of rectangle = hypotenuse of right triangle

a^2 + b^2 = c^2

(8 ft)^2 + (6 ft)^2 = c^2

64 ft^2 + 36 ft^2 = c^2

c^2 = 100 ft^2

Take the square root of each side.

c = 10 ft

Answer: She should cut each diagonal piece 10 ft long.

Answer 2

Answer:

The diagonal piece of wood should be 10 feet long.

Step-by-step explanation:

The diagonal piece of wood will form a right-angled triangle with the width and length  of the box. By the Pythagoras Theorem:

x^2 = 6^2 + 8^2   where x is the  length of the diagonal.

x^2 = 36 + 64

x^2 = 100

x = 10 feet.