Question

the sides of the rectangle are in the ratio 2:1 the perimeter is 30 cm. calculate the measure of all the sides ​

Answer 1

Answer:

let the length....,,, l = 2x & b =1x

Permeter of Rectangle = 2(l+b)

30 = 2(2x+1x)=2X3x

30 = 6x

x = 30/6

x = 5

then length.....,, l = 2X5=10 cm

Breadth...,,, b = 1X5 = 5 cm

Answer 2

Answer:

Hence, value of length and breadth of the rectangle will be

$Length = 2x = (2\times 5) = 10\:cm\\Breadth = x = 5\:cm$

Step-by-step explanation:

In context to the question asked,

We have to determine the value of length and breadth of the rectangle.

As per data given in the question,

It is given that,

Side of rectangle are in ratio of 2 : 1

Perimeter of rectangle = 30 cm

As we know that,

Perimeter of rectangle can be determined by using the formula $Perimeter = 2 (l +b)$

So, let the length and breadth of rectangle are 2x and x respectively.

So, in order to determine the value of length and breadth we will put the assumed value of length and breadth of rectangle in above formula.

Thus we will get,

$Perimeter = 2 (x+2x)\\=>30= 2 \times 3x\\=>6x = 30\\=>x = \frac{30}{6} = 5$

So, value of length and breadth of the rectangle will be

$Length = 2x = (2\times 5) = 10\:cm\\Breadth = x = 5\:cm$