Question

The area of a rectangular fence is 500 square feet. If the width of the fence is 20 feet, then find its length.

Answer 1

Hint: The amount of space inside the boundaries of a two-dimensional figure or the surface of a three-dimensional object is called its area. The rectangle is two-dimensional so only its length and width decide its area. Area of a rectangle can also be defined as the sum of any of its sides placed one after another up to the length of the other side. For example, let the width of the rectangle be x and its length be y, then its area will be
$A = x + x + x.....y\,times$ when the width is placed one after another up to the end of the other side. So, $A = x \times y$ . Hence the area of the rectangle is equal to the product of its width and length.

Complete step-by-step answer:
We are given that the area of the rectangular fence is 500 square feet and its width is 20 feet. Let the length of the fence be L feet.
So,the area of the rectangle is given by $A = W \times L$
$
  500 = 20 \times L \\
   \Rightarrow L = \dfrac{{500}}{{20}} \\
   \Rightarrow L = 25\,feet \;
 $
Hence, the length of the rectangular fence is 25 feet.
So, the correct answer is “25 feet”.

Note: A rectangle is a two-dimensional figure; it has four sides and four angles. The measure of each angle is $90^\circ $ that is all the four sides of the rectangle are perpendicular to each other, all of its properties are similar to the properties of the square, but the only difference is that all the sides of the square are equal whereas, in a rectangle, the adjacent sides are unequal whereas opposite sides are equal.