Question

The length of a rectangular field is therice its breadth. its perimeter is 400 find the length and breadth ​

Answer 1

Answer:

$let \: the \: breadth \: be \: x \\ and \: its \: length \: be \: 3x \\ p = 2(l + b) \\ 2( x + 3x) =400 \\ = 8x = 400 \\ x = 50 \\ ln \\ \: length =150 \: breath = 50$

Answer 2

$\bold{\underline{Given\::}}$

• Length of a rectangular field is thrice it's breadth.
• Perimeter of rectangle is 400.

$\bold{\underline {Find\::}}$

Length and breadth of the rectangle.

$\bold{\underline{Solution\::}}$

Let breadth of rectangle be x.

∴ Length of rectangle = 3x

Now,

$\sf{\underline {Perimeter \:of\:rectangle \:=\:2(length \:+\:breadth)}}$

Substitute the known values in above formula

=> 400 = 2(3x + x)

=> 400 = 2(4x)

=> 400 = 8x

=> $\sf{\frac{400}{8}}$ = x

=> 50 = x

=> x = 50

Substitute value of x = 50 in the length of rectangle.

So,

Length of rectangle = 3(50)

=> 150

•°• Length of rectangle is 150 m and Breadth of rectangle is 50 m.