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 =
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Radius into radius .You should know half of diameter is radius.
Let's assume
length of rectangle =L
width of rectangle =W
You enclose 3 sides of the garden with 40 feet of fencing
so, we get
now, we can solve for L
we know that
area of rectangle is
now, we can plug
now, we can solve for W
we can use quadratic formula
we can take anyone value ..because both are giving positive value
first dimensions:
now, we can find L
so, length is 34.142feet
width is 2.929 feet
Second dimensions:
now, we can find L
so, length is 5.858feet
width is 17.071 feet
