Question

Gina looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one wall in the plan is 17 inches. The length of the diagonal of the floor of the room in the plan is approximately 18.79 inches.

Is the room in the shape of a square? Explain how you determined your answer. Show all your work.

Answer 1

The room does not have the shape of a square.

Does the room have the shape of a square?

A square is a four-sided object in which all the four sides are of equal length. Pythagoras Theorem would be used to determine if the room is a square.

The Pythagoras theorem: a² + b² = c²

where:

• a = length
• b = base
• c = hypotenuse

√17² + 17² = 24.04.

The length of the calculated diagonal is not equal to that given in the question. Thus, it is not a square.

To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675

#SPJ1