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Exercises: Paint
Exercise Answers
1. 4 + 4 = 8
Most of the math interior designers use is simple math such as this. 2. 18 + 18 = 36
When working with fabrics, understand that 18 inches is 1/2 yard; 36 inches is 1 yard. 3. 36 ÷ 12 = 3 36 inches divided by 12 inches equals 3 feet. 4. 5 × 8 = 40
A common bathroom size is 5 feet × 8 feet, which results in 40 square feet. 5. 40 ÷ 9 = 4.44
Sheet vinyl laid in that bathroom will require 4.44 square yards. 9 is used because there are 9 square feet in 1 square yard and the same units must be used in math. 6. 1.5 × 4 = 6
Calculators work with decimals and not fractions. 7. Convert .5 ft. into inches = 6 in.
.5 × 12 = 6 in.
8. Convert .75 ft. into inches = 9 in.
.75 × 12 = 9 in.
9. Convert 3 in. into feet using a decimal = .25 ft. 12 in. ÷ 3 in. = .25 ft.
10. 6 × 12 = 72 ÷ 9 = 8
A 6-foot × 12-foot space is 72 square feet, divided by 9 square feet is 8 square yards. When you are doing math, it is important to use the same units, in this case square feet. 11. Convert 9 ft. 9 in. to feet using a decimal = 9.75 ft.
.75 ft. × 12 = 9 in.
12. 12 ft. – 8 ft. 3 in. = 3 ft. 9 in. 13. What is the numeric equivalent of π? 3.14 14. What is the formula to find the circumference of a circle? 2r × 3.14, where r represents the radius of the circle.
When working with round fabric products, such as pillows, tablecloths or swags, you must sometimes know the perimeter, or circumference, so that you can order fringe or other trim.
Box 1.3
Converting Inches to Feet
Converting 12 feet 8 inches to a decimal: The inches must be converted to feet units from inch units. 8 inches divided by 12 inches (1 foot) equals .666 feet. Only two numbers are kept to the right of the decimal point. If the third number to the right of the decimal is less than 5, the second number remains as it is. If the third number is 5 or more, the second number should be rounded up. In this case, .666 becomes .67. Therefore, 12 feet 8 inches as a decimal is 12.67 feet.
Converting 14 feet 6 inches to a decimal: 6 inches divided by 12 inches equals .5 feet. Therefore, 14 feet 6 inches as a decimal is 14.5 feet.
10 CHAPTER 1 THE BUSINESS OF INTERIOR DESIGN
Labor:
Step 1: Draw diagram.
Step 2: Find the perimeter of the area rug for binding.
Add length of all sides together: Side 1 in feet: 12 ft. Side 2 in feet: + 12 ft. Side 3 in feet: + 10 ft. Side 4 in feet: + 10 ft.
Total perimeter of area rug for binding: 44 ft.
Step 3: Find perimeter of first seam.
Total width of area rug in feet: 12 ft. Subtract exact size of top border in feet: – 1.25 ft. Subtract exact size of bottom border in feet: – 1.25 ft. Subtotal A—width of field: 9.5 ft. Total length of area rug in feet: 10 ft. Subtract exact size of right side border in feet: – 1.25 ft. Subtract exact size of left side border in feet: – 1.25 ft. Subtotal B— length of field: 7.5 ft. Take Subtotal A: 9.5 ft. Add to Subtotal B: + 7.5 ft. Total: 17 ft.
Note: 17 ft. represents one-half of the perimeter of the rectangle. We multiply by 2 to get the entire perimeter of the 4 sides.
× 2
Total perimeter for seaming first seam: 34 ft.
Step 4: Find perimeter of second seam.
There is only one seam, so Step 4 is skipped.
Step 5: Calculate for backing.
Take overall width of area rug in feet: 12 ft. Multiply by overall length of area rug in feet: × 10 ft.
CHAPTER 8 CUSTOM BORDERED AREA RUGS 131
