Embed Size (px)
Citation preview
Charlie is fencing in a rectangular area of his backyard for a garden, but he hasn’t yet decided on the specific dimensions. The diagram below shows the general dimensions of the area Charlie is planning to fence. He knows the hardware store from which he will buy the fencing charges by the foot.
2
2.1.3: Multiplying Polynomials
1. Write an expression, using x, to show the perimeter of the fence.
2. The style of fence Charlie wants costs $5 per foot. Use the expression you wrote for the perimeter to find an expression for the total cost of the fence.
3. If Charlie decides to use 15 feet for the length of x, how much will the total amount of fence cost?
3
2.1.3: Multiplying Polynomials
1. Write an expression, using x, to show the perimeter of the fence.
• The perimeter of the rectangle is the sum of the lengths of its sides.
x + 2x + x + 2x = 6x• The perimeter of the fence is 6x feet.
4
2.1.3: Multiplying Polynomials
2. The style of fence Charlie wants costs $5 per foot. Use the expression you wrote for the perimeter to find an expression for the total cost of the fence.
• The perimeter is 6x feet. If the fencing Charlie wants costs $5 per foot, the total cost will be the cost per foot times the perimeter.
5 • 6x = 30x• The total cost of the fence is 30x.
5
2.1.3: Multiplying Polynomials
3. If Charlie decides to use 15 feet for the length of x, how much will the total amount of fence cost?• Replace x with 15 in the expression for the total cost
of the fence, 30x.
30(15) = 450• The total amount of fence will cost $450.
6
2.1.3: Multiplying Polynomials
