Question

The length of a rectangular plot is trice its breadth. if the area of the rectangular plot is 867sqm,then what is the breadth of the rectangular plot ?​

Answer 1

Correct Question :

The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq. m,then what is the breadth of the rectangular plot ?

Given :

• Length of a rectangular plot is thrice its breadth.
• Area of Rectangle is 867 m² .

To Find :

• Breadth of Rectangle .

Solution :

$\longmapsto\tt{Let\:Breadth\:be=x}$

As Given that Length of a rectangular plot is thrice its Breadth.So ,

$\longmapsto\tt{Length=3x}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Rectangle=length\times{breadth}}$

Putting Values :

$\longmapsto\tt{867=3x\times{x}}$

$\longmapsto\tt{867={3x}^{2}}$

$\longmapsto\tt{\cancel\dfrac{867}{3}={x}^{2}}$

$\longmapsto\tt{\sqrt{289}=x}$

$\longmapsto\tt\bf{17=x}$

Value of x is 17 ...

Therefore :

$\longmapsto\tt{Breadth\:of\:Rectangle=x}$

$\longmapsto\tt\bf{17\:m}$

$\longmapsto\tt{Length\:of\:Rectangle=3(17)}$

$\longmapsto\tt\bf{59\:m}$

Answer 2

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 -:

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

Explanation-:

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 ,

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

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