Question

if the breath of the room is one third of its length and the perimeter of the room is 40 m find length and breath of the room

Answer 1

Answer:Length = 15m and breadth= 5m

Step by step explanation:

length = l

breath= l/3

2(l+b) = 40m

2l + 2l/3 = 40

6l + 2l = 40 * 3

8l = 120

l = 120/8

l= 15

Answer 2

Solution!!

The breadth of the room is one third of its length.

So, let the length of the room be x.

Breadth = 1/3 of x

Breadth = x/3

The perimeter of the room is given in the question.

We are asked to find the length and breadth of the room. Since, the perimeter is given, we will use the perimeter formula of the rectangle to find the value of x.

Perimeter = 40 m

Length = x

Breadth = x/3

Perimeter = 2(Length + Breadth)

40 = 2(x + x/3)

40 ÷ 2 = x + x/3

20 = x + x/3

20 = (3x + x)/3

20 × 3 = (3x + x)

60 = (3x + x)

60 = (4x)

60 = 4x

x = 60 ÷ 4

x = 15

Length = x = 15 m

Breadth = x/3 = 15/3 = 5 m

Hence, the length and breadth of the room are 15 m and 5 m, respectively.