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 (rect…

Question

asked Nov 13, 2020 4.3k views

1 Answer

Solepixel · Answer 1 · 2020-11-20T02:59:35+0000

Answer:

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.