Question

The perimeter of a rectangle is 216 cm. If its length and breadth are in the ratio
4:5. find its dimensions and its area.
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Answer 1

Answer:

Perimeter=216cn

ratio-4:5

Step-by-step explanation:

1. let length be 4y and breadth be 5y
2. the formula of perimeter of rectangle is 2(l+b)
3. let put the values
4. 2(4y+5y)=216
5. (4y+5y)=216÷2
6. 9y=108
7. y=108÷9
8. y=12

• Now,

1. length = 4y

=4×12

=48cm

1. breath =5y

=5×12

=60cm

Answer 2

Answer:

48cm and 60cm.

Step-by-step explanation:

Ratio of the length and breadth

of a rectangle = 4 : 5

sum of Ratios = 9

Perimeter of rectangle = 216 cm

=> 2 × sum of length and breadth = 216 cm

=> Sum of length and breadth = 108 cm

Therefore,

$length \: = \frac{4}{9} \times 108$

$length = 4 \times 12 = 48cm$

$breadth = \frac{5}{9} \times 108$

=> breadth = 5 × 12 = 60cm. Answer