Question

plzzz solution .........​

Answer 1

Correct Question:-

• The length of a rectangular plot is thrice its breadth. if the area of the rectangular plot is 867 m² , then what is the breadth of the rectangular plot ?

AnswEr :-

$\boxed{\sf{\purple{The\: length\: of\: Rectangle\: is \: 17 m \: and \: the \: breadth\:of Rectangle\:is \:59m.}}}$

Given :-

• The length of a rectangular plot is thrice its breadth.
• the area of the rectangular plot is 867 m² .

To Find :-

• Breadth of a rectangle .

Solution:-

• Let the length of Breadth of Rectangle be X m .............(2)

Then ,

• The Length of Rectangle is thrice it's Breadth -: 3 × X = 3x m . ................(1)

Now ,

$\boxed{\sf{\blue {Area \: of\:Rectangle \:= length \times breadth}}}$

Here ,

• Length of Rectangle-: X m ...........,[From 1]
• Breadth of Rectangle-: 3x m ........... [ From 2]
• The area of the rectangular plot is 867 m²

$\pink{\sf{\rightarrow {867\:m² = 3x \times x }}}$

$\pink{\sf{\rightarrow {867\:m² = 3x² }}}$

$\pink{\sf{\rightarrow {\frac{867}{3} = x² }}}$

$\pink{\sf{\rightarrow {289 = x² }}}$

$\pink{\sf{\rightarrow {\sqrt{289} = x}}}$

$\pink{\sf{\rightarrow {17 = x}}}$

Therefore,

$\boxed{\sf{\red{x = 17}}}$

Now ,

• Length of Rectangle-: X -: 17 m
• Breadth of rectangle-: 3x -: 3 × 17 = 59 m .

Hence ,

$\boxed{\sf{\red{The\: length\: of\: Rectangle\: is \: 17 m \: and \: the \: breadth\:of Rectangle\:is \:59m}.}}$

________________________________________________

Answer 2

Let breadth of the rectangular plot be 'x'

Length will be '3x'

Area = 867cm²

x(3x) = 867

3x² = 867

x² = 867/3

x² = 289

x = 17m

Breadth is 17m