Step by step
The question
Question: find the area of the rectangle with corners (0, 0), (6, 0), (6, 2), (0, 2).
rectangle: (0, 0), (6, 0), (6, 2), (0, 2)
1 Plot the points
We put the corners on the grid.
Corner A is (0, 0).
And so on.
We join them in order.
2 Find the side lengths
A B: the same y, so it goes across.
Its length is the bigger x minus the smaller: 6 minus 0 is 6.
= AB: 6 − 0 = 6
B C: the same x, so it goes up and down.
Its length is the bigger y minus the smaller: 2 minus 0 is 2.
= BC: 2 − 0 = 2
3 Area
The area of a rectangle is length times width.
= area = length × width
Careful!
Adding the sides gives the perimeter, the way round.
The area is the squares inside.
Careful: not 6 + 2 + 6 + 2 = 16 ✗
6 times 2 is 12 square units.
= area = 6 × 2 = 12 square units
4 Check
Let's check: count the squares inside.
2 rows of 6 squares: 12.
So the answer is right!
2 rows of 6 squares = 12 squares
Let's look back.
First: plot the points.
Then: find the side lengths.
Then: area.
Last: check.
Answer
= area = 6 × 2 = 12 square units