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?
Accepted Solution
A:
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 ftThe width of the room = 13 ftLet us assume the length of the diagonal = mNow,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 ftBut 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.