Mr. Rodriguez has a vegetable garden that borders his house. He wants to put a fence around it. It costs $7 per yard for the materials. Evaluate 7(l + 2w), where l is the length and w is the width of his garden, to find the cost for a garden that has a length of 5 yards and a width of 2 yards.(1 point)
Responses
$98
$98
$16
$16
$63
$63
$39
To find the cost for a garden that has a length of 5 yards and a width of 2 yards, we substitute l = 5 and w = 2 into the expression 7(l + 2w):
7(5 + 2(2))
Simplifying the expression:
7(5 + 4)
7(9)
The final result is:
$63
To find the cost of the fence, we need to calculate the perimeter of the garden (since the fence will go around the border of the garden). The formula for the perimeter of a rectangle is 2l + 2w, where l is the length and w is the width of the rectangle.
In this case, the length of the garden is 5 yards and the width is 2 yards. Substituting these values into the formula, we get:
Perimeter = 2(5) + 2(2) = 10 + 4 = 14 yards
Now, we need to multiply the perimeter by the cost per yard of the materials, which is $7. So, we have:
Cost = 7 * 14 = $98
Therefore, the answer is $98.
To evaluate the expression 7(l + 2w), where l is the length and w is the width of the garden, we substitute the given values: l = 5 yards and w = 2 yards.
Therefore, the expression becomes 7(5 + 2(2)).
Now, we can simplify the expression inside the parentheses: 7(5 + 4).
Add the numbers inside the parentheses: 7(9).
Multiply the numbers to get the final result: 63.
Therefore, the cost for a garden with a length of 5 yards and a width of 2 yards is $63.