Question

The length of the room is 2½ times the breadth. The perimeter of the room is 70 m. What are the length and breadth of the room.

Answer 1

According to the question

Let breadth be x

So length = 5/2. X

Now perimeter of rectangle = 2(l+b)

.

so

70 = 2 × ( X + 5/2 X)

35 = 7x/2

x = 35 × 2/7

x = 10

So breadth = 10m

length = 5/2 × 10 = 25m

Answer 2

Answer:

Length = 25 cm

Breadth = 10 cm

Step-by-step explanation:

Let breadth of the room be 'x'

Let length of the room be '$2 \frac{1}{2} x = \frac{5}{2} = 2.5 \: x$'

Perimeter ( P ) = 70 cm

Now, let's find the breadth of the room 'x '

Perimeter of rectangle = $2(l + b)$

plug the values

$70 = 2(2.5x + x)$

Collect the like terms

$70 = 2 \times 3.5x$

Calculate the product

$70 = 7x$

Swap the sides of the equation

$7x = 70$

Divide both sides of the equation by 7

$\frac{7x}{7} = \frac{70}{7}$

Calculate

$x = 10 \: cm$

Breadth = 10 cm

Now, Let's find the length of the room ' 2.5x '

Length of the room = $2.5x$

Plug the value of X

$= 2.5 \times 10$

Calculate the product

$= 25 \: cm$

Thus , The length and breadth of the room is 25 cm and 10 cm respectively.

Hope this helps..

Best regards!!