The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750m^2. The le

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29 Sep 2021 LCM

The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750m^2. The length of the hall is :

OPtion

1. 25m
2. 28m
3. 32m
4. 35m
5. 33m
6. 40m
7. 30m
8. 20m
9. 15m
10. None of the above

Solution

Let the breadth of rectangular hall = x m.
length = (x + 5) m.
Area of hall = L× B
750 = (x + 5) x
x^2 + 5x – 750 = 0
x^2 + 30x – 25x – 750 = 0
x (x + 30) – 25 (x + 30) = 0
(x – 25) (x + 30) = 0
x = 25, as x cannot be negative.
Length of hall = x + 5
= 25 + 5 = 30 m

Correct Option: 7 Best Solution (1)