Height =x
Breadth =x-2
Length
Ram has purchased a plot of land. He wants to consu
tank on it. The area of the plot is (x2 + 5x - 14) m, bica
(x-2) m and depth of the water tank is x m.
Question - 1. If its length is 15 m what will be its area
Question -2: In given situation that is Area = x2 + 5x - 14. Is lengo
always be greater than the breadth in the given situation
(a) Yes
(b) No
(c) Can't say
Question- 3: Give a possible value of x so that water is sufficient
for a population of 720 for 10 days if on an average a person
needs 100 liters of water per day.
Answers
Answered by
0
286 m² , Yes , length always be greater than the breadth , x ≥ 8 for sufficient water
Step-by-step explanation:
The area of the plot is (x² + 5x - 14)
Question - 1. If its length is 15 m what will be its area
put x = 15
Area = 15² + 5(15) - 14
= 225 + 75 - 14
= 300 - 14
= 286 m²
x² + 5x - 14
= x² + 7x - 2x - 14
= (x + 7)(x - 2)
x + 7 > x - 2
=> length > breadth
Yes , length always be greater than the breadth
Water required = 720 * 10 * 100 litre
= 720 m³
(x + 7)(x - 2)x ≥ 720
15 * 6 * 8 = 720
=> x = 8 will give 720
=> x ≥ 8
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