Question

5. The sides of a rectangle in the ratio 1 : 2 and its perimeter is 24 cm. Find the sides.​

Answer 1

Answer:

Perimeter of rect. =2(l+b)

Step-by-step explanation:

Length=2x (as the length is greater than breadth)

Breadth=1x

Perimeter=2(2x+1x) =24cm

=2×3x=24 cm

=6x=24cm

=x=24/6=4cm

Length=2x=2×4=8cm........Breadth=1x=4cm

Answer 2

Answer:

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

$Length = x = 4\:cm\\Breadth = 2x = (2\times 4) = 8\:cm$

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 1 :2

Perimeter of rectangle = 24 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 x and 2x 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,

$Perimeter = 2 (x+2x)\\=>24 = 2 \times 3x\\=>6x = 24\\=>x = \frac{24}{6} = 4$

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

$Length = x = 4\:cm\\Breadth = 2x = (2\times 4) = 8\:cm$