# 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

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.