Question

2. The sides of a rectangle are in the ratio 5 : 4 and its perimeter is 90 cm. Find its length and breadth.​

Answer 1

Answer:

25 cm and 20 cm

Step-by-step explanation:

Let the sides be 5x and 4x

Now, ATQ,

2(5x+4x) = 90

=> 2(9x) = 90

=> 9x = 45

=> x = 5

Now sides are,

4(5) cm and 5(5)

=> 20 cm and 25 cm

Hope this helps you

Answer 2

To find : length and breadth of rectangle .

Given :  sides of a rectangle are in the ratio $5 : 4$ and its perimeter is $90$ cm.  

Solution :

• According to question we are given that sides of a rectangle are in the ratio $5 : 4$ and its perimeter is $90$ cm . We have to find  length and breadth of rectangle .

• Let , $5x$ and $4x$ be the length and breadth of rectangle .

• To find length and breadth  we use following formula -

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

• Substituting the values we get,

       $90 = 2 (5x + 4x )\\90 = 2 (9x)\\18x = 90 \\x = 5$

• Now ,substituting the value of $x$ to find length and breadth .
• Therefore , length = $5x =5\times 5 =25\ cm$

                          breadth = $4x = 4\times 5 = 20\ cm$

Hence, length and breadth of rectangle are $25\ cm$ and $20\ cm$ respectively .