b The area of a rectangle is the product of the length and the width.
A
aG
B
b
Practice makes perfect
a The area of a rectangle is the product of the length and the width. In this case, the width of the vertical side is 3. The length of the horizontal side is split into two parts with the lengths 4 and 8 units, respectively.
According to the order of operations, we need to add the two lengths before we can multiply. This is indicated using parentheses.
In multiplication, the order of the factors does not affect the value of the product.
This allows us to change the order of the factors. Let's do that!
width &* length
3 &* (4+8)
This corresponds to option G.
b We can create rectangles to model the area expressions for options F, H, and J as well.
Expression F
We have been given the following expression.
4 + 3 * 8
To illustrate this using rectangles we can draw one rectangle with 4 squares and one rectangle with the width 3 and the length 8.
Expression H
The Expression H looks as follows.
3 * 4 + 8
We want to illustrate this using rectangles. We can let the first rectangle have the width 3 and the length 4. To this we want to add 8. We can illustrate this with a rectangle with 8 squares.
Expression J
We are now going to illustrate the Expression J.
3^2 + 8^2
Let's begin by rewriting the powers as products.
3* 3 + 8 * 8
One rectangle with the length= 3 and width= 3 and another rectangle with the length= 8 and width= 8 can represent this expression.
