Name:
Topic:
Main Ideas/Questions
- Find the area of each plane figure below.
- Use the area formulas to find each measure.
- Application: Mr. Payton would like to paint his deck. The dimensions of the deck are shown below. If one can of paint covers 72 square feet, how many cans will he need to purchase for two coats of paint?
- Find the diameter of a circle with an area of 380.13 m².
- A trapezoid with base measures of 23 km and 29 km has an area of 390 km². Find the height of the trapezoid.
- A triangle with an area of 45.5 cm² has a base that measures 14 cm. Find the height of the triangle.
- Find the length of the second base of a trapezoid with one base measuring 12 feet, a height of 4 feet, and an area of 58 square feet.
- Find the perimeter of a square with an area of 361 square feet.
Area Formulas
Area formulas for all shapes include:
- A = bh
- A = 1/2 bh
- A = πr²
- A = lw
- A = 1/2(b₁ + b₂)h
- A = s²
Examples and Calculations
- A = (7.1) (12.9)
- A = 91.59 in²
- A = (16)(19+27)
- A = 368 cm²
- A = 1/2 π(17)²
- A = 453.96 ft²
- A = 22(5)(1+13)
- A = 50mm²
- A = 1/2(7)(16.8)
- A = 58.8 ft²
- A = 1/2(4)(x+12) = 58
- X = 17ft
- A = 1/2(16.5)(14+24)
- 2 coats = 627ft²
- 627/72 = 8.25 cans
- 9 cans needed
Area Formulas PDF
For more examples and detailed area formulas for all shapes, refer to the attached Area of Plane Figures PDF with additional questions and answers.
Gina Wilson (All Things Algebra), 2015
