Question

The length of the rectangle is three times its breadth. if its perimeter is 24cm what is the length of the rectangle (b) area of the rectangle​

Answer 1

$\bf \huge \colorbox {green} { solution : - }$

$\bf AnswEr:$

$\sf The \: area \: of \: the \: rectangle = {27}cm^ {2}$

$\bf Given :$

The length of a rectangle is three times its width the perimeter of the rectangle is 24cm.

$\bf Need \: To \: Find:$

Area of the rectangle = ?

$\bf \: ExPlanation:$

Let , Breadth of the rectangle be x.

Formula used here :

Perimeter of rectangle = 2 ( L + B )

Putting the values according to the given formula :

➠ 24 = 2 (3 + x )

➠ 12 = 14x

➠ x = 3 cm

Therefore :

The length and breadth of the rectangle are 9 cm and 3 cm .

Again , Formula used here :

Are of rectangle = Length × Breadth

Putting the values according to the given formula :

➠ Area of rectangle = 9 × 3

$\sf ➠ Area \: of \: rectangle \: = {27}cm^{2}$

Therefore :

$\sf \: The \: area \: of \: the \: rectangle \: is \: 27 \: Cm².$

︎︎︎

︎︎︎

︎︎︎