Mathematics, 31.07.2019 02:00 hannahboohoo120

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

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Answer from: croxy0514

The length of one wall of the room is 13 inches. If the room is squared shape, all the side lengths must be 13 inches.

Since the adjacent walls are at right angles to each other, the diagonal can be found using the Pythagorean Theorem. So if all side lengths are 13 inches each, the length of diagonal will be:

The length of this diagonal is different from the length of diagonal given. Hence this proves the shape of room is not square. Rather it is rectangular.

We can find the exact length of other side by using the Pythagorean Theorem again. Let the length of other side is x, so

Therefore, length of the other side, rounded of to nearest inch is 8 inches.

Answer from: mama9297

In order for the room to be a square, all sides must be the same length. In order to determine if all sides are equal, you need to use the formula A2 +B2 = C2 where 2 is the power that A, B, and C are being raised to. You would the have A2 + 13(2) = 15.26(2). If you do not want to solve for that just plug in so that both sides are equal 13(2) + 13(2) = C2
13(2) + 13(2) =338
Then you have to square that value to find the answer. The square root of 338 is 18.384. That is not the value of the corner to corner diagonal, therefore the answer is that the shape is not a square.

Answer from: Quest

The first one is correct

Answer from: Quest

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

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