Question

If the breadth of a rectangle is one-third of its length and perimeter is 80cm. Find the length and breadth of the rectangle.​

Answer 1

Answer:

Step-by-step explanation

Let the length of rectangle be x

Breadth =1/3 of length

Breadth=1/3×x

Perimeter of rectangle=2(length +breadth)=80

=2(x+1/3×x)=80

LCM of 1 and 3 is 3

2(x×3/1×3+1x/3)=80

2(3x/3+1x/3)=80

2(3x+1x/3)=80

2(4x/3)=80

8x/3=80

8x=80×3

8x=240

x=240÷8

x=30

Therefore, length =x=30cm

Breadth=1/3×x=1/3×30=10cm

Answer 2

The length and breadth of rectangle are 30 cm and 10 cm

Step-by-step explanation:

Let the length of rectangle be x

We are given that the breadth of a rectangle is one-third of its length

So, Breadth =$\frac{1}{3}x$

Perimeter of rectangle = $2(l+b)=2(x+\frac{x}{3})$

We are given that the perimeter is 80 cm

So,$2(x+\frac{x}{3})=80$

$2x+\frac{2x}{3}=80$

x=30

Breadth =$\frac{1}{3}x=\frac{30}{3}=10$

Hence The length and breadth of rectangle are 30 cm and 10 cm

#Learn more:

Perimeter is 80cm length is 24cm find the breadth of rectangle​

https://brainly.in/question/15364616