Home
Class 10
MATHS
Solve by using the quadratic formula. ...

Solve by using the quadratic formula.
The area of a rectangular plot is 528 `m^2` . 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.

Text Solution

Verified by Experts

Area =`528m^2`
Let Breadth be `b`
Then length `l=2b+1`
So `(b)(2b+1)=528`
`2b^2+b−528=0`
`2b^2−32b+33b−528=0`
`2b(b−16)+33(b−16)=0`
`(2b+33)(b−16)=0`
So `b=16`
`l=33`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Represent the following situations in the form of quadratic equations: The area of a rectangular plot is 528 m^(2) . The length of the plot (in meters) is one more than twice its breadth. We need to find the length and breadth of the plot.

Represent the following situations in the form of quadratic equations : (i) The area of a rectangular plot is 528 m^2 . 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.

The area of a rectangular plot is 528m^(2). The length of the plot (in metres) is one metre more then twice its breadth.Find the length and the breadth of the plot.

Represent the following situations in the form of quadratic equations: (i) The area of a rectangular plot is 528m^(2) . The length of the plot (in metre) 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 elder 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 has been 8kmh^(-1) less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

The area of a rectangular plot is 528m^(2). The length of the plot (in metres) is one more than twice its breadth.Formulate the quadratic equation to determine the length and breadth of the plot.

Sanket purchesed a rectangular plot having area 200m^2 . Length of the plot was 10m more than its breadth. Find the length and breadth of the plot.

The area of a rectangular plot is 462 m^(2) and its length is 28 m. Find its perimeter.

What is the area of the rectangular plot? I. The length of the plot is 375 m. II. The length of the plot is thrice its breadth

The perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth.What are the length and the breadth of the pool?

The length of a rectangle is 6 m more than its breadth. The perimeter of the rectangle is 60 m. Find the length and breadth of the rectangle.