Question

The length of a rectangular room is thrice its breadth. The perimeter of the rectangular room is 64.find it's length and breath.

Answer 1

Solution:

Let breadth of the room = b units

Length (l) = 3b units

It is given that,

Perimeter (P) = 64 units

=> 2(l+b) = 64

=> l+b = 32

=> 3b+b = 32

=> 4b = 32

=> b = 32/4

=>b = 8 units

Therefore,

l = 3b = 3×8 = 24 units

b = 8 units

••••

Answer 2

$\:\:\:\dag\:{\underline{\underline{\mathfrak{\red{Given :-}}}}}$

• $\textsf{Length of a rectangular room is thrice its breadth.}$

• $\textsf{The perimeter of the rectangular room = 64 m}$

$\:\:\:\dag\:{\underline{\underline{\mathfrak{\orange{To \ Find:- }}}}}$

• $\textsf{Length \ \& \ Breadth }$

$\:\:\:\dag\:{\underline{\underline{\mathfrak{\blue{Solution:- }}}}}$

$\bigstar\:\:{\boxed{\textsf{Perimeter of rectangle = 2(l + b)}}}$

$\:\:\::\implies\:\:\sf{ 64 = 2(3x + x)}$

$\:\:\::\implies\:\:\sf{ 64 = 2(4x)}$

$\:\:\::\implies\:\:\sf{ 64 = 8x}$

$\:\:\::\implies\:\:\sf{ 64 \div 8 = x}$

$\:\:\::\implies\:\:\sf{ 8 = x}$

$\:\:{\mathfrak{\purple{Length}}} \begin{cases} \:\:\::\implies\:\:\sf{3x} \\ \:\:\::\implies\:\:\sf{ 3(8 m)} \\ \:\:\::\implies\:\:{\boxed{\mathfrak{\red{ 24 m}}}}\end{cases}$

$\:\:{\mathfrak{\purple{Breadth}}} \begin{cases} \:\:\::\implies\:\:\sf{x} \\ \:\:\::\implies\:\:{\boxed{\mathfrak{\red{8 m}}}}\end{cases}$

$\bigstar\:{\underline{\boxed{\sf{Length \ is \ 24 m \ and \ breadth \ is \ 8 m}}}}$