Foundations of Mathematical Reasoning
Student Assignment 3.2.AB
Questions
Assignment 3.2 Part AB1) Bob and Carol want to hire Able Refinishing to sand and refinish the dining room floor to match the floor in the living room. Able charges $2.89 per square foot to sand and refinish a hardwood floor. The dining room is rectangular and measures 17 feet 8 inches by 11 feet 8 inches. Note that it is common for service companies to round dimensions up to the next foot before calculating.
Answer blanks:
a) Able would estimate the area of the dining room floor as ______square feet.
b) Able would charge $______for sanding and refinishing the dining room floor.
2) A neighbor told Bob that he should apply a protective “sealant” to the driveway. Bob found a product at the home improvement store that comes in a $26.99 tub and covers 300 square feet. Disregarding tax, which of the following is the best estimate of the amount it will cost Bob to buy the sealant
Answer choices:a) $27
b) $54
c) $90
d) $108 /
3) Carol plans to plant tree seedlings in the yard and protect the base with a circle of bark mulch. First she plans to lay down a circle of plastic covering with a 48-inch diameter. How much area, to the nearest square foot, is covered by each circle of plastic?
Answer blank:
Each circle of plastic covers approximately ______square feet
/The following problems should be printed, completed, and placed in your binder:
Questions 4 through 6: The formulas for finding the area of two-dimensional geometric figures that occur in everyday use are published in reference books or available online. Use the Internet or some other reliable source to find a formula for the area of each figure. Define each variable in the formula, and label the figure with the variables to indicate the correct meaning of the variable. You may have to add to the figure to indicate all variables.
For example:
Rectangle
Area of a rectangle = L × W
Variables: L = length; W = width
4) Parallelogram
Area of a parallelogram =
Variables:
5) Triangle
Area of triangle =
Variables:
6) Trapezoid
Area of trapezoid =
Variables:
7) Give an example of a formula that was not used in this lesson that you have used in this course or elsewhere. Define all the variables in the formula.
Hints (Note that not every question will have a hint)
Hint #1: Be sure to round the dimensions of the room before calculating the area.
Hint #2: Use the scale on the blueprint to estimate the dimensions of the driveway.
Hint #3: It may be helpful to draw a picture.
The Charles A. Dana Center at
The University of Texas at Austin Unedited Draft
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