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The expressions for the width, W, and area, A, of the rectangle in terms of L are:
- W =
- L
- A =
The expression for the perimeter of a rectangle is given as:
P = 2(L + W)
where L is its length and W its width
a. Given that the perimeter of the rectangle is 13 feet, then;
13 = 2(L + W)
divide through by 2
= L + W
So that;
W = - L
The required formula for the width as a function of L is: W = - L
b. Area of a rectangle can be expressed as;
A = L * W
substitute the expression for width in that of area to have
A = L * ( - L)
= L -
A =
The expression for the area A is: A =
Answer:
Step-by-step explanation:
1. The initial equation given to us is . Rearranging the equation to isolate
, we have:
2. Using the equation we rearranged in part 1, we can substitute given values:
3. We see from our equation in part 1 () that when
, the denominator of our fraction will be equal to 0. Since we cannot divide by 0, the velocity remains undefined and cannot be determined.