4.1 Quantitative Geometry

You will need to read your text thoroughly.

You will find that a good many of the problems we will see in this section cannot be worked without referring to the formulas, diagrams and tables in the appendix (most of them are under the geometry section).

Following is a link you might find helpful in determining the area and perimeter of different geometric figures. There are LOTS of things out there. I caution you not to spend too much time. Check it out.

In order to find the area of a given shape that doesn’t match one from our list, we may have to divide the shape into multiple parts that we do know. Trust me, you will have to do this.

Each of you must turn in your own work, complete with all the bells and whistles. Do as much of your work on each individual sheet. If you need more room, attach your work. Some of these problems are REALLY going to make you think.

You are expected to:

  • Label your work as you go. Make sure I understand what part of the problem you are working on (some have several parts).
  • When you are applying a formula, it may be helpful to state the formula first.
  • Your next line after the formula is substitution.
  • Your next line is solving. Use equations and a top down format.
  • Make sure your final answer is clear and includes the units.

Homework from your text: Section 4.1 all of the problems 1 - 24

4.1 Example 1Name ______

Welding Application: Calculate the weight of the welded steel beam.

4.1 Example 2Name ______

Calculate the area and perimeter for each section of flooring in the coffee shop. Do not ASSUME a certain shape, let the numbers tell you.

1. Concrete (top portion and left side

2. Tile

3. Hardwood (triangle and circle)

4. Carpet

4.1 Example 3Name ______

Force is commonly measured in pounds per square inch (PSI). Calculate the force that each post is exerting on the footing in PSI if the post is supporting 34,260 pounds.

4.1 Example 4 Name ______

  1. Find the area of the wall.
  1. How many sheets of 4’ x 8’ plywood are needed to cover it? For this problem, let’s just think in terms of mathematics, not what you would actually do on the job. Give your “mathematical answer,” then round UP to the next whole sheet.
  1. How many 12’ long pieces of 5” coverage lap siding are needed to cover it? Again, we are looking for a “mathematical” answer, then round UP to the next whole piece of siding.

4.1 Example 4 Name ______

1.Find the area of the lot in square feet and acres.

2.Find the perimeter of the lot in feet.

Section 4.1: Perimeter and Area

Section 4.1:

  1. 140 ft2
  1. 124 sheets
  1. 1,377 tiles
  1. 918 lineal feet
  1. grass = 9,557 m2

track = 3,402 m2

  1. 2,561 psi
  1. 3,207 ft2
  1. 12 in
  1. 10 in
  1. 47.5 in
  1. 205.3 ft2
  1. 99 yd2
  1. 1,084 lbs
  1. 1,172 kg
  1. 147 lbs
  1. 1827 cm2
  1. 5702.6 cm2
  1. 3238 cm2
  1. 58 inches
  1. 629 inches
  1. 431.327 in
  1. 4643.806 in2
  1. 8376.69 cm
  1. 312.58 lbs