What will be the length of the Hypotenuse of the Table? If

The perimeter of a top surface of a rectangular table is 28 m and its area is 48 m2. What is the length of the hypotenuse of the table?

  1. 12.5m
  2. 5 m
  3. 10 m
  4. 12 m
Monis Rasool Professor Asked on 14th September 2015 in Maths.
Add Comment
1 Answer(s)

Answer: (3) 10 m

Explanation:-
The perimeter of a top surface of e rectangular table = 28 m

Formula-
The perimeter of the rectangular table = 2 (l + b)

Then, 2(l + b) = 28
l + b = 28/2
l + b = 14        ……………………………………………….. (1)
Area of surface of the rectangular table = 48 m2
Then, lb = 48
l = 48/b
Put the value of l = 48/b in equation (1),
Then, 48/b + b = 14
(48 + b2) /b = 14
48 + b2 = 14b
b2 – 14b + 48 = 0
b2 – 8b – 6b + 48 = 0
b (b – 8) – 6 (b – 8) = 0
(b – 8) (b – 6) = 0
b – 8  = 0  &  b – 6 = 0
b = 8  & b = 6
Then, l = 48/6 = 8

l = 8 cm & b = 6 m

Hypotenuse of the rectangular surface of the table = (82 + 62)1/2
= (64 + 36)1/2
= (100)1/2
= 10 m

Then, the hypotenuse of the table is 10 m.

Hence, the answer is (3) 10 m.

Anurag Mishra Professor Answered on 15th September 2015.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.