Often, we use a formula to calculate the area of plane figures such as squares, rectangles, triangles or circles.
Area of a Square
The area of a square that has a side-length of 1 cm is 1 square
centimetre (or 1 cm^{2}). To find the
area of a square by the method of counting squares, we divide the square into smaller
squares of one centimetre side-length .
Consider a square that has a side-length of 4 cm.
Using the method of counting squares, we find that the area of the square
is 16 cm^{2}.
Clearly, the square contains 4 rows of 4 squares. Therefore:
This suggests that:
The area of a square is equal to its side-length multiplied by its
side-length. That is:
Using the pronumerals *A* for area and *s* for side-length, we can write it simply as:
This is the **formula **for the area of a square.
Example 1
Find the area of a square flower-bed of side 15 m.
##### Solution: |