Question

Tanvy runs $3$ times around a square field each of whose sides measures $95\text{ m }$. How much distance does she run?

Answer 1

Hint: For finding out the distance covered around the field by Tanvy , we will find out the perimeter of the park and then multiply by 3. We will do this by adding up all the sides given in the figure that is $P=AB+BC+CD+DA$ . After adding the sides multiply by 3 then the resultant value will be our answer

Complete step-by-step answer:
We are given a square field whose side measures $95\text{ m }$:

Now, since we have to find out the distance that Tanvyy covers when she runs around the field we will have to find the perimeter of the field.
We know that perimeter is defined as the length of the outline of a shape. If we want to find out the perimeter of a rectangle or square or any other quadrilateral shape (shapes with four sides and four vertices), all you have to do is add all the sides and get the perimeter of that shape.
Now to find out the total distance covered we will find out the perimeter of the square field. Since we know that tall the sides of square are equal hence we know all the sides of the field and the perimeter of the park will be as follows:
$P=AB+BC+CD+DA$ , where $P$ is the perimeter of the given field.
Now since: $AB=BC=CD=DA=95$ , therefore
$P=AB+BC+CD+DA=4AB$
Now we will put the values of the side in this equation, then we will get:
$P=4\times AB=4\times 95=380\Rightarrow P=380$
Now it is given that Tanvy runs around the field for $3$ times therefore will multiply the perimeter by $3$, therefore the total distance covered will be: $3P=3\times 380=1140$.
Hence, the answer will be $1140\text{ m}$.

Note: Sometimes students in a hurry can make mistakes by not taking the condition given in the start of the question that is Tanvy runs around 3 times so be careful to multiply the perimeter by 3. Any two dimensional figure will have its perimeter as sum of all its sides except the circle (the perimeter of a circle is called the circumference, it is equal to $2\pi r$, where $r$ is the radius of the circle.) If a given figure or polygon is regular means if its all sides are equal then the perimeter will be $n\times a$ , where n is the number of sides and a is the length of the side.