Question

Represent the following situations in the form of quadratic equations

(i) The area of a rectangular plot is 528 m square. 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.

Answer 1

Let the breath of rectangle = x unit

ATQ

(x)(2x +1) = 528

2x² + x - 528 = 0

.

Hope it helps

Answer 2

Answer:

Let us consider,

Breadth of the rectangular plot = x m

Thus, the length of the plot = (2x + 1) m.

As we know,

Area of rectangle = length × breadth = 528 m^2

Putting the value of length and breadth of the plot in the formula, we get,

(2x + 1) × x = 528

⇒ 2x^2 + x =528

⇒ 2x^2 + x – 528 = 0

Therefore,

the length and breadth of plot,

satisfies the quadratic equation, 2x^2 + x – 528

= 0,

which is the required representation of the problem mathematically.