Question

If the perimeter of a rectangle sheet is $100cm$, length is $35cm$, then find its breath and also find the area.

Answer 1

Hint - To solve this problem, firstly we should know about geometry, shape, formula of a rectangle which will help us to understand the problem and then we can easily calculate the required measurement by using the appropriate formula. And then at the final step, we will be finding the area of the same.

Complete step-by-step answer:

Perimeter of Rectangle could be considered as one of the important formulae of a rectangle. It is the total distance covered by the rectangle around its outside. Perimeter basically gives the length of the figure .In case of circle perimeter is also called circumference.
Let,
Length$ = \,l$
Breadth $ = b$ of rectangle
$ \Rightarrow Perimeter = 2\left( {l + b} \right)$
 $ \Rightarrow 100 = 2\left( {35 + b} \right)$
$ \Rightarrow 50 = 35 + b$
$ \Rightarrow b = 15cm$
Now, we have to calculate the area of this rectangle –
Area is 2-Dimensional, i.e. it consists of a length and a breadth and measured in square units.
Area of a rectangle is calculated by the multiplication of its length and breadth.
Hence,
Area $
   = l \times b \\
   \Rightarrow 35 \times 15 = 525c{m^2} \\
$

Hence breadth of our rectangle is $15cm$
And Area is $525c{m^2}$

Note - A rectangle is a quadrilateral having four right angles whose opposite sides are equal. It can also be defined as an Equilateral quadrilateral, since equiangular means that all of its angles are equal. It can also be defined as a parallelogram consisting of a right angle. Its formulas include the formula for area, perimeter, and diagonal of a rectangle. Rectangle is a polygon having four sides. There are mainly three formulas for rectangle- Perimeter, Area, Diagonal.
Perimeter of a Rectangle Formula $P = 2\left( {l + b} \right)$
Area of a Rectangle Formula $A = l \times b$
Diagonal of a Rectangle Formula $D = \sqrt {{l^2} + {b^2}} $