Question

The length of the rectangular field is 65 meters , it’s width is 35 meters . Joni ran around the track 4 times. How far did she run?

Answer 1

Hint: Firstly draw the diagram of the rectangle and mark it’s sides as per given information. And calculate the perimeter of the rectangle . As Joni runs 4 times so multiply the perimeter by 4 and thus the required answer will be obtained.

Complete step-by-step answer:

The perimeter of the rectangle can be given as \[{\text{2(x + y)}}\] , where x and y are the length and breadth of the rectangle.
Therefore , 4 times the perimeter will be our required answer.
\[
  x = 65 \\
  y = 3{\text{5}} \\
 \]
On substituting the values in equation of perimeter we get,
\[
   \Rightarrow 2(x + y) \\
   \Rightarrow 2(65 + 35) \\
   \Rightarrow 200m \\
 \]
So, as Joni runs 4 times, we multiply the perimeter by 4,
\[
   \Rightarrow 4(2(x + y)) \\
   \Rightarrow 4(200) \\
   \Rightarrow 800m \\
 \]
Thus , Joni used to cover the distance of 800 m by running 4 times around a rectangular field.

Note: A rectangle is a 2D shape in geometry, having 4 sides and 4 corners. Its two sides meet at right angles. Thus, a rectangle has 4 angles, each measuring 90 ̊. The opposite sides of a rectangle have the same lengths and are parallel.
Properties :
A rectangle is a quadrilateral.
The opposite sides are parallel and equal to each other.
Each interior angle is equal to 90 degrees.
The sum of all the interior angles is equal to 360 degrees.
The diagonals bisect each other.
Both the diagonals have the same length.