Advertisements
Advertisements
Question
The length of a rectangular park is 5 metres more than twice its breadth. If the area of the park is 250 sq. m, find the length and breadth of the park.
Solution
Let the breadth of the rectangular park be x cm.
Then, according to question
Length of the rectangular park be 2x + 5 cm.
Also, given area of rectangular park = 250 cm2
∴ 250 = x(2x + 5)
⇒ 2x2 + 5x – 250 = 0
⇒ 2x2 + 25x – 20x – 250= 0
⇒ x(2x + 25) – 10(2x + 25) = 0
⇒ (2x + 25)(x – 10) = 0
⇒ 2x + 25 = 0 and x – 10 = 0
⇒ x = `-25/2` and x = 10
∴ Breadth, x = 10 cm ...(∵ x can't be negative)
Now, Length = 2(10) + 5 = 25 cm
Hence, the length of the park is 25 cm and breadth of the park is 10 cm.
RELATED QUESTIONS
Check whether the following is the quadratic equation:
x2 + 3x + 1 = (x - 2)2
Check whether the following is quadratic equation or not.
`sqrt(3x^2)-2x+1/2=0`
In the following, determine whether the given values are solutions of the given equation or not:
a2x2 - 3abx + 2b2 = 0, `x=a/b`, `x=b/a`
`100x^2-20x+1=0`
Solve for x the quadratic equation x2 - 4x - 8 = 0.
Give your answer correct to three significant figures.
A piece of cloth cost Rs 5000. If the cost price of the cloth was Rs 5 less per meter, SOm more of the cloth would have been purchased. Find the cost price per meter of cloth and length of the cloth purchased.
Find which of the following equations are quadratic:
5x2 – 8x = –3(7 – 2x)
Is x = 5 a solution of the quadratic equation x2 – 2x – 15 = 0?
Solve:
`((2x -3)/(x - 1)) - 4((x - 1)/(2x - 3)) = 3`
If ax + by = = a2 - b2 and bx + ay = 0, then the value of x + y is ______.
