To find the area of a rectangular garden, you use the formula for the area of a rectangle, which is:
[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]
In your specific case, the rectangular garden has a length of 40 meters and a width that is given as [tex]\(2z\)[/tex] meters. Here, we assume [tex]\(z\)[/tex] to be a variable, but it has been assigned a value for calculation purposes in this scenario.
Let's consider the width to be [tex]\(2\)[/tex] meters (as the given value for [tex]\(z\)[/tex]). Therefore, replacing [tex]\(z\)[/tex] with 1, we get:
1. Length ([tex]\(L\)[/tex]) = 40 meters
2. Width ([tex]\(W\)[/tex]) = [tex]\(2 \cdot 1 = 2\)[/tex] meters
Now, we substitute these values into the area formula:
[tex]\[ \text{Area} = 40 \, \text{meters} \times 2 \, \text{meters} \][/tex]
By performing the multiplication, we get:
[tex]\[ \text{Area} = 80 \, \text{square meters} \][/tex]
Therefore, the area of the rectangular garden is 80 square meters.
