A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet. The width is 32 feet. The diagonal is 40 feet. Which best describes the foundation?

d) A foundation may be a rectangle : 24² + 32² = 40²

Step-by-step explanation:

P.S - The exact question is -

Given - A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet. The width is 32 feet. The diagonal is 40 feet.

To find - Which best describes the foundation?

a) A foundation can not be a rectangle : 24 + 32 ≠ 40

b) A foundation can not be a rectangle : (24 + 32)² ≠ 40²

c) A foundation can not be a rectangle : √24² + 32² ≠ 40²

d) A foundation may be a rectangle : 24² + 32² = 40²

Proof -

We have to check whether the shape of the frame is rectangle or not.

As we know that,

A diagonal divides the rectangle in two right angle triangles

So,

Given that Length = 24

                  Width = 32

                  Diagonal = 40

By applying Pythagoras theorem, we get

40² = 24² + 32²

So,

The correct option is - d) A foundation may be a rectangle : 24² + 32² = 40²

it’s supposed to be -4+45=41

step-by-step explanation: