1. Measure of the space inside a given 2 dimensional area

2. CAHSEE: Measurement and Geometry
MG 2.1 Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic three-dimensional figures including rectangles, parallelograms, trapezoids, squares, triangles, prisms, and cylinders. [ 3 questions ]

3. Area: How many square units make up the inside of the object?
2 cm
3 ft
5 in
4 cm
3 ft
4 in
Area in2
Area = 9 ft2
Area = 8 cm2
Area measures the space in two dimensions.

4. Area of a Square or Rectangle
Area = (length)(width)
A = l • w
2 cm
3 ft
4 cm
3 ft
A = l • w
= 2 • 4
Area = 8 cm2
A = l • w
= 3 • 3
Area = 9 ft2

5. Sample Test Problem #1
One side of a square has a length of 1.5 feet. What is the area of the square?
2.25 ft2
2.50 ft2
3 ft2
6 ft2
Area = (length)(width)
A = l • w
= 1.5 • 1.5
= 2.25 ft2
Answer: a

6. Sample Test Problem #2
Juan is going to put new carpet in the upstairs bedroom. The room is 10 feet by 15 feet. How much carpet will he need to purchase for this room?
25 ft2
50 ft2
150 ft2
325 ft2
Area = (length)(width)
A = l • w
= 10 • 15
= 150 ft2
Answer: c

7. Area of a Parallelogram
Area = (base)(height)
A = b • h
= 7 • 4
= 28 in2
4 in
7 in
Area = (base)(height)
A = b • h
= 6 • 8
= 48 cm2
6 cm
8 cm

8. Sample Test Problem #3
Which parallelogram has an area of 10 square centimeters?
Base =5 ; Height = 5
Base = 2 ; Height = 5
Base = 20 ; Height = 2
Base = 15 ; Height = 5
Area = (base)(height)
A = b • h
= 2 • 5
= 10 cm2
Answer: b

9. Area of a Triangle Area = ½ (base)(height) A = ½ (b)(h) A = ½ (b)(h)
5 in
3 m
4 in
7 m
A = ½ (b)(h)
= ½ (4)(5)
Area = 10 in2
A = ½ (b)(h)
= ½ (7)(3)
= 10.5 m2

10. Sample Test Problem #4 What is the area of the figure below? 32 m2
A = ½ (b)(h)
= ½ (16)(6)
= 48 m2
10 m
6 m
16 m

11. Area of a Trapezoid Area = + Area = ½ (b1)(h) + ½(b2)(h)
Area = ½ (b1+b2)h b2 2 h 1 b1

12. Trapezoid Area = ½ (b1+b2)h Area = ½ (b1+b2)h = ½ (3+8)2 = ½ (10 + 6)4
10 cm
3mm
8mm
4 cm
2mm
6 cm
Area = ½ (b1+b2)h
= ½ (3+8)2
= ½ (11)(2)
Area = 11 mm2
Area = ½ (b1+b2)h
= ½ (10 + 6)4
= ½ (16)(4)
Area = 32 cm2

13. Sample Problem #5 What is the area of the figure below? 16.5 in2
Area = ½ (b1+b2)h
= ½ (7 + 4)3
= ½ (11)(3)
Area = 16.5 in2
Answer: a
7 in
3 in
5 in
4.5 in
4 in

14. Area of a Circle Area = Pi • radius2
Pi ( ) – ratio of the circumference of a circle to its diameter: approximate value = 3.14
radius ( r ) - measure from center of a circle to any side

15. Circle
Area (Pi)(radius)2
5 cm
cm2

16. Sample Problem #6
What is the approximate area of a circle that has a radius of 6 millimeters?
9.14 mm2
18.84 mm2
37.68 mm2
mm2
Answer: d

17. Sample Problem #7 What is the approximate area of the circle below?
23.14 cm2
62.8 cm2
125.6 cm2
314 cm2
20 cm
Answer: d

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