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

The measurement of the diagonal is NOT CORRECT.

So, Mr. Winston is in trouble.

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 = √(196 +  169)  = √(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.