Question

The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also, find the area.

Answer 1

Given, the perimeter of the rectangular sheet = 100 cm
And the length of the rectangular sheet = 35 cm
We know that, the perimeter of a rectangle = 2(length x breadth)
$\Rightarrow$ $2(length+breadth)=100cm$
$\Rightarrow$ 2(35 + breadth) = 100
$\Rightarrow$ $35+breadth=\frac{100}{2}$
$\Rightarrow$ 35 + breadth = 50
$\Rightarrow$ breadth = 50 - 35 [Transferring 35 to RHS]
$\Rightarrow$ breadth = 15 cm
Now, Area of rectangular sheet = $length\times breadth$
$=35\times 15=525c{m}^2$
Thus, breadth and area of reactangular sheet are 15 cm and 525 $c{m}^2$ respectively.