Question

Maria 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 13 inches. The length of the diagonal of the floor of the room in the plan is approximately 15.26 inches.

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

Answer 1

@iGreen

Answer 2

@YanaSidlinskiy @ganeshie8

Answer 3

@amistre64

Answer 4

@.Sam.

Answer 5

Hello,

To find the diagonal length of a square, take a perimeter and multiply it by \(\sqrt{2}\).

\[13 \times \sqrt{2} = 18.38477631085023563442195341472607502140573437990032495129683...\]

\[18.38 \ne 15.26\]

Hence, the room is not a square.

Peace.

Answer 6

o_O

Answer 7

I want the answer in english please.

Answer 8

Okay, let us start this off step by step.

Do you know the formula for the diagonal length of a square?

Answer 9

Ehh, no.

Answer 10

Okay so learn it, the diagonal length of a square can be calculated by this formula: \[x \times \sqrt{2}\]

Where \(x\) is one side of the perimeter. Do you follow and understand so far?

Answer 11

Uhhh

Answer 12

I think you're supposed to find the answer with the Pythagorean theorem...

Answer 13

It asks one question, "Is the room in the shape of a square?"

Using the formula, if the product does not equal the given diagonal length, the object is not a square.

Answer 14

?

Answer 15

I am basically saying, the use of the Pythagorean theorem here is unneeded, the question is simple enough to be solved with just a formula and basic arithmetic skills.

Answer 16

Welp, that's what I'm supposed to use.

Answer 17

Well then set up a right angle triangle (the question gives you the details) solve for the hypotenuse then compare it to the diagonal length they give you. If it matches it is square, if not, then it is not a square.