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Mr.Winston is adding a sunroom to his house. After laying the foundation and building the frame he double checks his measurements. Mr.Winston found that his 14 ft by 13 ft (rectangular) sunroom had a diagonal measurement of 20 ft. Why is Mr.Winston in trouble?

Respuesta :

Answer:

The measurement of the diagonal is NOT CORRECT.

So, Mr. Winston is in trouble.

Step-by-step explanation:

The length of the rectangular room = 14 ft

The width of the room  = 13 ft

Let us assume the length of the diagonal  = m

Now,a s the room is a rectangle so, by PYTHAGORAS THEOREM:

[tex](LENGTH)^2 + (WIDTH)^2 = (DIAGONAL)^2[/tex]

⇒[tex](14)^2 + (13)^2 = (m)^2\\\implies m = \sqrt{196 +  169}  = \sqrt{365} = 19.10[/tex]

or, the length of the diagonal of the room is 19.10 ft

But here, given the sun room had a diagonal measurement of 20 ft.

Hence, the measurement of the diagonal is NOT CORRECT. So, Mr. Winston is in trouble.

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