Question

The area Of a retangle is 96 cm .if the Breath of the retangle is 8 cm Find its Length and Perimater.​

Answer 1

Given: The area of a rectangle is $96$cm. and the breath of the rectangle is $8$cm.

We have to find the length and perimeter of the rectangle.

As we know that the area of a rectangle is calculated by a formula:

Area = length x breadth

And perimeter is calculated by a formula:

Perimeter = 2(length+breadth)

We are solving in the following way:

We have,

The area of a rectangle is $96$cm. and the breath of the rectangle is $8$cm.

Let assume the length of the rectangle be'$x$'.

So, the length of the rectangle will be:

$\Rightarrow A=l\times b\\\Rightarrow 96=x\times 8\\\\\Rightarrow x=\frac{96}{8} \\\\\Rightarrow x=12$

Hence, the length of the rectangle is$12cm$.

So, the perimeter of the rectangle will be:

Perimeter = 2(length+breadth)

$\Rightarrow P=2(12+8)\\\Rightarrow P=2(20)\\\Rightarrow P=40$

Hence, the perimeter of the rectangle will be $40cm.$and length will be$12cm.$

Answer 2

• As per the data given in the question, we have to determine the length and perimeter of a rectangle.

        Given data:- Area=$96cm.$

                              Breadth=$8cm.$

        To find:- The length and perimeter.

        Solution:-

• The Rectangle has four sides.
• The opposite side of rectangle are parallel to each other.
• The sum of all interior angle is $360$ degree.
• The perimeter of rectangle is $2(length+\ breadth).$

        Therefore,

      $\Rightarrow l\times b=96\\\Rightarrow l\times8=96\\\Rightarrow l=\frac{96}{8}\\\Rightarrow l=12cm.$

   So, the Perimeter of Rectangle is

        $=2(l+b)\\=2(12+8)\\=2\times20\\=40cm.$

 Hence, the value will be $40cm.$