Question

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?

Answer 1

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:

$(LENGTH)^2 + (WIDTH)^2 = (DIAGONAL)^2$

⇒$(14)^2 + (13)^2 = (m)^2\\\implies m = \sqrt{196 + 169} = \sqrt{365} = 19.10$

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.