Question

The length of a rectangular room is twice its breadth. If the perimeter of the room is 180cm. find the sides of the room.​

Answer 1

Answer:

30 cm and 60 cm

Step-by-step explanation:

Given :-

The length of a rectangular room is twice its breadth. If the perimeter of the room is 180cm.

To Find :-

Sides of room

Solution :-

Let

• Breadth = x
• Length = 2x

Perimeter = 2(l + b)

180 = 2(2x + x)

180/2 = 2x + x

90 = 3x

90/3 = x

30 = x

Hence,

Breadth = x = 30 cm

Length = 2x = 2(30) = 60 cm

Answer 2

$\underline{ \pink{ \rm GIVEN \: \: DATA \: \: : }}$

The length of a rectangular room is twice its breadth . If the perimeter of the room is 180cm.

$\underline{ \purple{ \rm TO \: \: FIND \: \: : }}$

Find Sides of the Room.

$\underline{ \red{ \rm SOLUTION \: \: : }}$

Let The Breadth of the Rectangular Room be x .

The Length of the Rectangular Room be 2x .

$\color{violet}{ \boxed{ \boxed{ \blue{ \mathfrak{Perimeter \: \: of \: \: Rectangle }} \: = \orange{\rm \: 2(l + b)}}}}$

By substituting the values,

$\rm 2(2x + x) = 180$

$\rm 3x = \frac{180}{2}$

$\rm3x = 90$

$\rm x = \frac{90}{3}$

$\color{lime} \boxed{ \color{magenta} \bf{ {x = 30}}}$

Then,

$\rm Length \: = 2x = 2 \times 30 = \color{darkgreen}60cm$

$\rm Breadth \: = x = \color{orange}30cm$