Question

the area of rectangular plot is 528 metre square the length of a plot in metres is one more than twice is its breadth we need to find the length and breadth of the plot​

Answer 1

Answer:

let the breadth =b m

length = l =(2b+1)m

area =528m²

l*b= 528

(2b+1)b-528=0

2b²+b-528=0

2b²+33b-32b-528=0

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

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

2b+33=0 or b-16=0

b should not be zero

therefore

b-16=0

b=16

breadth = 16m

length =l= 2b+1=2*16+1=32+1=33m

Step-by-step explanation:

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