2. Represent the following situations in the form of quadratic equations:
(i) The area of a rectangular plot is 528 m2. The length of the plot (in metres)
is one more than twice its breadth. We need to find the length and breadth
of the plot.
(ii) The product of two consecutive positive integers is 306. We need to find
the integers.
(iii) Rohan’s mother is 26 years older than him. The product of their ages (in
years) 3 years from now will be 360. We would like to find Rohan’s present
age.
(iv) A train travels a distance of 480 km at a uniform speed. If the speed had
been 8 km⁄h less, then it would have taken 3 hours more to cover the same
distance. We need to find the speed of the train.
Answers
Step-by-step explanation:
Let us write the multiples of 3. Multiples of 3 are 3, 6, 9, 12, 15... etc.
We can also write this as Multiples of 3=3×n, where n = 1, 2, 3, ... m = 3 n. m is the multiple of 3
Thus, we have the following table.
n 1 2 3 4 5
m=3n 3 6 9 12 15
Points: (1 , 3), (2 , 6), (3 , 9), (4 , 12), (5 , 15).
Plot all these points and join them. We get the graph for multiples of 3.
Answer:
2. Represent the following situations in the form of quadratic equations:
(i) The area of a rectangular plot is 528 m2. The length of the plot (in metres)
is one more than twice its breadth. We need to find the length and breadth
of the plot.
(ii) The product of two consecutive positive integers is 306. We need to find
the integers.
(iii) Rohan’s mother is 26 years older than him. The product of their ages (in
years) 3 years from now will be 360. We would like to find Rohan’s present
age.
(iv) A train travels a distance of 480 km at a uniform speed. If the speed had
been 8 km⁄h less, then it would have taken 3 hours more to cover the same