Question

The cost of a rectangular field is₹2000, @ of ₹10 per m. Also, the length is double breadth. Find area of rectangle.

Answer 1

Answer:

200 m^2

Step-by-step explanation:

let the breadth be X ,length 2x

area of rectangle =l×b=x×2x= 2x^2

according to question

2x^2×10=2000

2x^2=200

x^2=100

X=10

breadth =X=10

length =2x= 20

area of rectangle = l×b=10*20=200m^2

Answer 2

$\huge\mathbb{\underline{\underline{SOLUTION:-}}}$

$\sf To\:Find:-$

The area of rectangle

• Let the breadth be x

• and length is double to breadth
• Then length is 2x

$\sf\underline{\underline{\purple{According\:to\: Question:-}}}$

$\sf Area\:of\: rectangle=Length\times Breadth$

$\sf Area=2x\times x\\ \\ \sf\implies Area=2x{}^{2}$

$\boxed{\sf{Area\:of\: rectangle=2x{}^{2}}}$

Now

It is ₹10 per m=₹2000

If the cost of 1m is ₹10 and the cost of :-

$\sf \implies cost\:of\:2x{}^{2}=?$

$\sf Area\:of\: rectangle\times10=2000$

$\sf 2x{}^{2}\times 10=2000\\ \\ \sf\implies 2x{}^{2}=\cancel{\frac{2000}{10}}\\ \\ \sf\implies 2x{}^{2}=200\\ \\ \sf\implies x{}^{2}=\cancel{\frac{200}{2}}\\ \\ \sf\implies x{}^{2}=100\\ \\ \sf\implies x=\sqrt{100}\\ \\ \sf\implies Value\:of\:x=10$

• So, x is the breadth

$\sf\underline{\underline{\purple{Breadth=10m}}}$

• Length is 2 times breadth

• length =2×10=20m

$\sf\underline{\underline{\purple{Length=20m}}}$

• Now let's find the area of rectangle

$\sf Area=10\times 20\\ \\ \sf\implies Area=200m{}^{2}$

$\boxed{\underline{\pink{\mathfrak{Area\:of\: rectangle=200m{}^{2}}}}}$

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