quadratic equation to find area of rectangle

We need to find the length and breadth of the plot.

The length of the plot (in meters) is one more than twice its breadth. Represent the following situation in the form of quadratic equations:(i) The area of a rectangular plot is 528 m².We need to find the speed of the train are i) 2x 2 + x − 528 = 0, where x is the breadth of the rectangular plot, ii) x 2 + x − 306 = 0 where x is a positive integer, iii) x 2 + 32x − 273 = 0 where x is the present age of Rohan and, iv) s 2 − 8s − 1280 = 0 where s is the speed of the train. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. (iv) A train travels a distance of 480 km at a uniform speed. We would like to find Rohan’s present age.

(iii) Rohan’s mother is 26 years older than The product of their ages (in years) 3 years from now will be 360. (ii) The product of two consecutive positive integers is 306. The quadratic equations for (i) The area of a rectangular plot is 528 m². NCERT Solutions Class 10 Maths Chapter 4 Exercise 4.1 Question 2 We would like to find Rohan’s present age.(iv) A train travels a distance of 480 km at a uniform speed. The product of their ages (in years) 3 years from now will be 360. We need to find the integers.(iii) Rohan’s mother is 26 years older than him. We need to find the length and breadth of the plot.(ii) The product of two consecutive positive integers is 306. Video Solution: Represent the following situations in the form of quadratic equations:(i) The area of a rectangular plot is 528 m2. ☛ Check: NCERT Solutions for Class 10 Maths Chapter 4

Thus, the quadratic equation is s 2 - 8s - 1280 = 0, where s is the speed of the train. Let the speed be s km/h and time be t hours.Īs per the given conditions, for the same distance covered at a speed reduced by 8 km/h, the time taken would have increased by 3 hours.Ĥ80 + 3s - 8 (480/s) - 24 = 480 (iv) Distance is equal to speed multiplied by time. Thus, the quadratic equation is x 2 + 32x - 273 = 0 where x is the present age of Rohan. Three years from now, Rohan’s age will be (x + 3) and Rohan’s mother age will be (x + 3) + 26 = (x + 29). Then, from the first condition, his mother’s age is (x + 26) years. (iii) Let's assume that Rohan’s present age is x years. Thus, the quadratic equation is x 2 + x - 306 = 0 where x is the first integer. Since the integers are consecutive, the next integer is (x + 1).

Thus, the quadratic equation is 2x 2 + x - 528 = 0, where x is the breadth of the rectangular plot. Then, we use the given relationship between length and breadth: length = 1 + 2 times breadth.Īrea of Rectangular Plot = Length × Breadth = 528 m 2 Since we don’t know the length and breadth of the given rectangle, we assume the breadth of the plot to be a variable (x meters). (i) We know that the area of a rectangle can be expressed as the product of its length and breadth. (iii) Rohan’s mother is 26 years older than him. (i) The area of a rectangular plot is 528 m 2. Represent the following situations in the form of quadratic equations:

Quadratic equation to find area of rectangle