Question

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​

Answer 1

Step-by-step explanation:

Let, the breadth be=(x) m.

and their, length be=(2x) m.

thus, Area of rectangle=528m^2.

x × 2x =528m^2.

2x^2 =528m^2.

x^2 =528/2.

x = √264 =16.24m.

then, breadth=16.24m

and length=2×16.24m =32.48m. proved...

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Answer 2

Answer:

• Let the Breadth be b

• Then, length will be 2b + 1

• It is given that Area of reactangular plot is 528 m².

According to question now :

Area = Length × Breadth

528 = (b) (2b + 1)

528 = 2b² + b

2b² + b - 528 = 0

Now, by using splitting term we get,

2b² - 32b + 33b - 528 = 0

2b (b - 16) + 33 (b - 16) = 0

(2b + 33) (b - 16) = 0

If x - 16 = 0, then x = 16

If 2b + 33 = 0, then b = -33/2

Therefore, Breadth = 16 meter.

So,

Length = 2b + 1 = 2(16) + 1 = 32 + 1 = 33 m

Hence,

Length of the reactangular plot = 33 m

Breadth of the reactangular plot = 16 m