Final Answer:
It would cost $133.56 for Elijah to build the fence around the 9 meters wide and 12 meters long vegetable patch.
Step-by-step explanation:
To determine how much it would cost to build a fence around Elijah's vegetable patch, we need to calculate the total length of the fence, which will be the perimeter of the rectangle formed by the vegetable patch.
The perimeter (P) of a rectangle is given by the formula:
P = 2 × (l + w)
Where l is the length and w is the width of the rectangle.
Elijah's vegetable patch has the following dimensions:
Length l: 12 meters
Width w: 9 meters
Using the formula for the perimeter we get:
P = 2 × (12m + 9m)
P = 2 × 21m
P = 42m
Now that we know the total perimeter, we can calculate the cost of the fencing material. The fencing material costs $3.18 per meter.
Total cost (C) of the fencing material is calculated by:
C = P × Cost per meter
C = 42m × $3.18/m
C = $133.56
Therefore, the total cost to build the fence around the vegetable patch would be $133.56.