Question

What is the perimeter of the rectangle with base \[3inches\] and height \[5inches\]?

Answer 1

Hint: We are given to find the perimeter of the rectangle. Since perimeter is nothing but the sum of lengths of all sides. We are given the measures of two sides, since opposite sides are equal in a rectangle, we can find out the other two sides too. After finding the sides, we can either find the total sum of the measures or just apply the formula of the perimeter of the rectangle i.e. \[2\left( l+b \right)\].

Complete step-by-step answer:
Now let us learn the properties of rectangles. It is also called a quadrilateral. The opposite sides are parallel and equal to each other. Each of the interior angles is a right angle. The sum of all interior angles is \[{{360}^{\circ }}\]. The diagonals bisect each other. Also the diagonals have the same length.
Now let us start finding the perimeter of the rectangle with base \[3inches\] and height \[5inches\].
The lengths of the sides would be \[3inches,5inches,3inches,5inches\].

Let us solve it by applying the perimeter formula i.e. \[2\left( l+b \right)\]
Length \[=3inches\]
Breadth \[=5inches\]
\[\begin{align}
  & 2\left( l+b \right) \\
 & = 2\left( 3+5 \right) \\
 & = 2\left( 8 \right) \\
 & =16inches \\
\end{align}\]
\[\therefore \] The perimeter of the rectangle is \[16inches\].

Note: A square can a rectangle but not all rectangles can be square. The main difference would be that if a rectangle with two consecutive sides are congruent, then it is called a square. In the same way, if a rectangle with perpendicular diagonals, then it is a square.