Question

The perimeter of a rectangle is 26 m. Find the sum of its length and breadth.

Answer 1

Hint: In this type of question students have to use the concept of perimeter of a rectangle. We know that the perimeter of a rectangle is given by \[2\times \left( l+b \right)\] where \[l\] is the length and \[b\] is the breadth of the rectangle. We will use this formula of perimeter of rectangle and then put the value of the perimeter. After simplification we will get the value of sum of length and breadth.

Complete step by step answer:
Now, we have to find the value of the sum of length and breadth of a rectangle whose perimeter is 26 m.

We have given that the perimeter of the rectangle is 26 m. Let ABCD be the rectangle.
As we know that,
\[\Rightarrow \text{Perimeter of the rectangle = }2\times \left( l+b \right)\]
where \[l\] is the length and \[b\] is the breadth of the rectangle.
By putting the value of the perimeter of rectangle we can write,
\[\Rightarrow 26m=2\times \left( l+b \right)\]
Dividing both sides by 2, we get,
\[\begin{align}
  & \Rightarrow \dfrac{26}{2}=\dfrac{2\times \left( l+b \right)}{2} \\
 & \Rightarrow 13m=\left( l+b \right) \\
\end{align}\]
Hence the sum of the length and breadth of a rectangle whose perimeter is 26 m is equal to 13 m.

Note: In this type of question students have to memorise the formulas of perimeters of shapes of basic geometry. If any of the students may forget the formula for perimeter then it can be derived from the basic definition of the perimeter as: perimeter is defined as the total measure of the boundary of any shape.