Manuel has opted to construct a fence to define a play area for his dogs, which will be a rectangular shape. Since only three sides require fencing because his house acts as one side of the rectangle, we conclude that the optimal area configuration will consist of two shorter sides each measuring 20 feet and a longer side measuring 40 feet.
Answer:
The linear equations are:
Step-by-step breakdown:
Here, a denotes the quantity of 2-point shots, and b indicates the number of 3-point shots.
According to the information given:
The basketball team accumulated 82 points through 2-point and 3-point baskets.
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It is also stated that: They made a total of 38 baskets.
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therefore, the linear equations are:
Response:
The fence's width is 6 feet.
Detailed explanation:
To start, let’s define some variables.
Let the width of the fence be denoted as w, and the length as l.
Next, determine the length: the width is 2 feet less than half of the length.
w = l/2 - 2
Alternatively, l/2 can be expressed as w + 2, leading to l = 2(w + 2).
The total perimeter of the fence is 44 feet. The perimeter for a rectangle can be calculated using the formula:
P = 2(l + w)
Inserting what we know:
P = 44 and l = 2(w + 2)
44 = 2(2(w+2) + w)
44 = 2(2w + 4 + w)
44 = 2(3w + 4)
44 = 6w + 8
6w = 36
w = 36/6
w = 6 feet
