Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Answer:
P = 4L - 10
A = [tex]\rm L^2-5L[/tex]
Step-by-step explanation:
Area & Perimeter
Area
By taking the product of a 2-D shape's side lengths, the area calculates how much space a 2-D shape takes up.
Perimeter
A 2-D shape's perimeter is the sum of all its side lengths.
[tex]\hrulefill[/tex]
Solving the Problem
Width
We're told that the width is 5 less than the length.
If the measurement of the width is W, and the measurement of the length is L inches then,
W = L - 5.
Perimeter
The side lengths of a rectangle are 2 with a measurement of the width and 2 with length.
So,
P = L + L + W + W or 2(L + W)
P = 2[L + (L - 5)} = 2(2L - 5)
P = 4L - 10
Area
The area of a rectangle is the product of its width and length.
So,
A = LW = L(L - 5) = [tex]\rm L^2-5L[/tex].
The perimeter of the rectangle can be written as a function of the length p(l)= 4l - 10. The area of the rectangle can be written as a function of the length a(l)= [tex]\underline{l^2 - 5l}[/tex].
Let l represent the length of the rectangle.
Since the width is 5 inches shorter than the length, let w = l - 5.
Perimeter Function
- The perimeter P of a rectangle is given by the formula:
[tex]P = 2l + 2w[/tex]
- Substituting w:
[tex]P(l) = 2l + 2(l - 5)[/tex]
- Simplifying this:
[tex]P(l) = 2l + 2l - 10 = 4l - 10[/tex]
Area Function:
- The area A of a rectangle is given by the formula:
[tex]A=l\cdot w[/tex]
- Substituting w:
[tex]A(l) = l \cdot (l - 5)[/tex]
- Simplifying this:
[tex]A(l) = l^2 - 5l[/tex].
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.