Question

find the length and breadth of a garden whose length is twice it's breadth and area is 800m²​

Answer 1

Let
Breadth = x
Length will be = 2x (given)

Now area of rectangle = LxB

x .(2x) = 800 (given)

2x^2 = 800
x^2 = 800/2 = 400
x= 20m

Therefore

Breadth = 20m
Length = 2 x 20 = 40m

Answer 2

Let,

Breadth = x

Hence,

Length = 2x

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Now,

$\large{ { \blue{\longrightarrow \: area \: of \: garden \: (rectangle) = length \times breadth}}}$

$\large{ { \blue{\longrightarrow \: 800 = 2x \times x}}}$

$\large{ { \blue{\longrightarrow \: 800 = {2x}^{2} }}}$

$\large{ { \blue{\longrightarrow \: {x}^{2} = \frac{800}{2} }}}$

$\large{ { \blue{\longrightarrow \: {x}^{2} = 400}}}$

$\large{ { \blue{\longrightarrow \: x= \sqrt{400} }}}$

$\huge{ \bold { \blue{\Longrightarrow \: x= 20}}}$

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HENCE,

$\large{ \red{\bold{\underline{length = 2x = 2 \times 20 = 40 \: cm}}}}$

$\large{ \pink{\bold{\underline{breadth= x = 20 \: cm}}}}$