FINDING AREA
Area is the amount of space inside a shape, and we measure it using square units, like counting how many little squares can fit inside the shape. Learning about area is important because it helps us know how much space we have for things like putting furniture in a room or planning a garden, so we can use our space better!
To
know the number of tiles that cover the
kitchen floor, we may count the square tiles that cover the floor.
1. Count from the first row left to right, then downwards.
2.
12 square tiles can cover the kitchen floor.
Another
way of finding the number of tiles that can cover the floor is:
First,
count the number of tiles arranged in each row. This stands for the length
side.
Then,
count the number of tiles in each column. This stands for the width side.
Multiplying
the length side with 4 and the width side with 3, gives us 12.
Therefore, we can say that when we multiply the side and the length gives us the same result as when we counted all the tiles that cover the floor.
Multiplying
the length and side gives us the area,
therefore this lead us to the formula
Area = Length X Width
Using the formula to find the area of a larger space, like a big rectangle or square, is very important because it saves us time and effort compared to counting each unit one by one. Counting can work well for smaller spaces, but as spaces get bigger, the formula helps us find the area quickly and accurately. Learning to use the formula makes it easier for us to measure and understand the size of any space, big or small, in a smart and efficient way.
Let us try to solve word problems, involving area:
Let
us assume that the giant’s kitchen was extended for more space that covers
another row of square tiles. What is the new area of the kitchen floor? (Originally the dimensions were 4 square units by 3 square units)
We can also solve problems
about area by drawing or illustration in graphing paper or by using ruler if
there is no graphing paper
Looking
at the figure formed, the kitchen floor now have the same side length of 4
square units, the shape of the floor now becomes square.
Therefore,
we can just multiply the side length by itself to get the area.
We
can then use the formula:
Area = side × side or Area = s2
Solution:
Area
= side x side
A
= s x s
A
= 4 units x 4 units
A
= 16 square units
Or we can just count the number of squares covered by the illustration.
When we measure the area of different
spaces, we use units like square centimeters and square meters. Smaller spaces,
like a book cover or a small garden bed, are often measured in square
centimeters, while larger spaces, like walls or playgrounds, are measured in
square meters. Let’s look at some examples to see how we can find the area
using both of these units!
Example 1
|
Emma
has a rectangular picture frame that is 5 cm long and 3 cm wide. She wants
to find out how much space the frame covers. What
is the area of Emma’s picture frame in square centimeters? |
Solution:
To find the area of the rectangular frame, multiply the
length by the width.
Area = length × width
Area = 5 cm × 3 cm
Area = 15 square centimeters
So, the area of Emma's picture frame is 15 sq. cm.
Example 2
|
Liam
has a square pool in his backyard. Each side of the pool is 6 meters long.
He wants to find out the area of the pool What
is the area of Liam’s pool in square meters? |
Solution:
To find the area of a square,
multiply the length of one side by itself.
Area = side × side
Area = 6 m × 6 m
Area = 36 square meters
So, the area of Liam's pool
is 36 square meters.
Direction: Color each small squares that make up the figures. Find the area of each figure below by counting the number of square units.
Direction: Assuming that each square measures 1 cm each side, find the area of the following figures using the formula: A = LxW. Write your solution in the box .
Direction: Color the following figures on the grid. Then count the number of units around the figure. Write your answer below each figure.
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