Question

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


a)20cm, 40cm              b)30cm, 40cm                c)10cm, 20cm               d)30cm, 60cm

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Answer 1

Given :-

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

To find :-

• Sides of rectangular room

Solution :-

Let the breadth be x and length be 2x

• Perimeter of rectangular room = 180cm

As we know that

Perimeter of rectangle = 2(l + b)

Where " l " is length and " b " is breadth of rectangle.

Now, according to question

→ Perimeter of rectangular room = 180

→ 2(l + b) = 180

→ 2(2x + x) = 180

→ 2 × 3x = 180

→ 6x = 180

→ x = 180/6

→ x = 30

Hence,

• Breadth of rectangular room = x = 30cm

• Lenght of rectangular room = 2x = 40cm

Therefore,

• Correct option is (b) 30cm, 40cm