Question

The length and breadth is in the ratio 4:3 . If the perimeter is 84cm, find the length and breadth.

Answer 1

Answer:

Let the length of the rectangle be l and the breadth be b.

Given:b=

4

3

l

Perimeter=2(l+b)=84cm

⇒l+b=

2

84

=42cm

⇒l+

4

3

l=42cm since b=

4

3

l

⇒

4

4l+3l

=42

⇒

4

7l

=42

⇒l=6×4=24cm

∴ Breadth=b=

4

3

l=

4

3

×24=18cm

∴ length=24cm and width or breadth=b=18cm

Answer 2

Answer:

let length and breadth be x

so, it will be 4x and 3x

perimeter of rectangle=2(l+b)

84=2(4x + 3x)

84=8x + 6x

84=14x

x=6

length is 4(6) and breadth is 3(6)

length is 24cm and 18cm

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