Question

The length of a rectangle is 3times it width.If the perimeter of rectangle is 96 meter. Find the length of rectangle.

Answer 1

Length=36m.
Breadth=12m.

Answer 2

$\huge{\underline{\underline{\mathrm{\blue{GIVEN:-}}}}}$

• The length of the rectangle is 3 times its breadth.
• The perimeter of rectangle = 96 m

$\huge{\underline{\underline{\mathrm{\blue{TO\:FIND:-}}}}}$

Find the length and breadth of the rectangle = ?

$\huge{\underline{\underline{\mathrm{\blue{FORMULA \:USED:-}}}}}$

$\large{\boxed{\bf{\red{Perimeter \:of\: rectangle = 2(l+b)}}}}$

$\huge{\underline{\underline{\mathrm{\blue{SOLUTION :-}}}}}$

Let the length of the rectangle be 'l' m and breadth be 'b' m

If the length of a rectangle is 3 times it width

According to given conditions :-

$\leadsto$$\large\bf\red{l = 3b...1)}$

the perimeter of rectangle is 96 m

Putting the given values in formula

$\large\rm{Perimeter \: of \: rectangle = 2(l + b)}$

put the value of 'l' from equation 1)

$\leadsto$$\rm{96 = 2(3b + b)}$

$\leadsto$$\rm{96 = 2\times4b}$

$\leadsto$$\rm{96 = 8b}$

$\leadsto$$\rm{b = \cancel\dfrac{96}{8}}$

$\leadsto$$\large\bf\red{b = 12\: m}$

The breadth of the rectangle is 12 m

Put the value of b in equation 1)

$\leadsto$$\large\bf{l = 3b}$

$\leadsto$$\large\bf{l = 3\times 12}$

$\leadsto$$\large\bf\red{l = 36\: m}$

$\large{\underline{\underline{\mathrm{\blue{FINAL\:ANSWER:-}}}}}$

$\huge{\boxed{\boxed{\mathrm{\red{Length = 36\: m}}}}}$

$\huge{\boxed{\boxed{\mathrm{\red{Breadth = 12\: m}}}}}$