Hello and welcome to Tutoring Hour!
This is Joe,
And this is his kitchen garden.
Look at the two patches of vegetables in his garden.
The beet patch
and the carrot patch,
Can you tell which of them is bigger?
If you said the carrot patch, then you are right.
You could say that by simply looking at it.
Now, take a look at these two patches of veggies.
We cannot tell which is bigger by just looking at them.
We need to calculate the area to actually figure out which is bigger.
Area is the amount of space occupied by a 2D shape or surface of an object.
Now, Joe wants to figure out the area
of his pumpkin patch,
bell pepper patch,
and corn patch.
Let’s lend him a hand in doing that.
We’ll start off with this pumpkin patch drawn on the grid.
Now, the boxes you see on this grid are called unit squares.
To determine the area we need to figure out the total number of unit squares occupied by this rectangle.
We have 1, 2, 3, 4, 5,
Then 6, 7, 8, 9, 10,
11, 12, 13, 14, and 15 unit squares.
But counting squares to determine the area is not always feasible.
We need to look for a simpler method.
Let’s take a look at this rectangle again.
There are 1, 2, 3, 4, 5 unit squares or columns along the length,
And there are 1, 2, 3 such rows.
So, the total number of unit squares occupied by this rectangle
is 5 unit squares times 3,
and that is 15 unit squares.
We’ll assume that each side of the unit square measures 1 meter,
then its area becomes 1 square meter,
Equating the number of columns with length and the number of rows with width
5 meters becomes the length of the rectangle,
3 meters is the width of the rectangle
And the product of the two: 15 square meters is the area of the rectangle.
From this
We have the formula to find the area of the rectangle
A = length times width or l times w.
All we need to do is just plug in the dimensions and figure out the area.
And this works much faster than counting squares.
So, let’s apply the formula to find the area of the rectangular bell pepper patch.
The length is 8 feet and the width is 5 feet.
The formula for finding the area of a rectangle is length times width.
That is 8 feet times 5 feet.
Multiplying the two, we have 40 square feet.
Therefore, the area of Joe's bell pepper patch is 40 square feet.
That was pretty simple!
Up next, is this square-shaped corn patch.
Let’s find its area.
Each of its sides measures 9 feet.
The area of a rectangle is length times width.
The length and width in the case of a square are the same.
So, the formula to find the area of a square can be written as side times side or side squared.
Hence, we have 9 feet times 9 feet.
And the area of the square corn patch is 81 square feet.
Now, that you are done helping Joe with finding the area of the vegetable patches in his kitchen garden,
All you need to do is practice determining the area of different rectangular objects.
If you want to practice this stuff, then tutoringhour.com is the place to be.
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