Question

please solve it fast​

Answer 1

Answer:

$Length ( l ) = 33 m , Breadth (b) = 16 m$

Step-by-step explanation:

Area of the rectangular plot is $528$$m^{2}$.  

Take $l$ for length and $b$ for breadth

Length is twice of its breadth, so, $l = (2b+1)$

Formula: A = $l$ x $b$

             $528 = (2b + 1)(b)$

            $(2b + 1)(b) - 528 = 0$

Solved:

$(2b + 1)(b) - 528 = 0$

$2b^{2} + b - 528 = 0$

The two numbers that give b when you subtract them is $- 32$ and $33$

So,

$2b^{2} - 32b + 33b - 528 = 0$

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

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

$b - 16 = 0\\b = 0 + 16 \\b = 16 m$

Don't take the equation $2b + 33 = 0$ as it will give the answer in decimals.

So substitute $b = 16$ in length equation:

$l = 2b + 1\\l = 2(16) + 1\\l = 32 + 1\\l = 33 m$