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Area of Parallelograms

Areas of Triangles, trapezoids and Rhombi

Geometric Probability

Area of regular polygons and circles

Area of Irregular Figures

Area of Parallelograms for $100

Write the formula for the area of a parallelogram

Answer

Back

Area of a parallelogram:A = bh Where, b = the base of the

parallelogramh = the height of the

parallelogram

Area of Parallelograms for $200

Find the area of the following parallelogram:

Answer

Back

A = bh

b = 3.7cm; h = 7.6cm

A = 3.7cm*7.6cm

A = 28.12 cm2

Area of Parallelograms for $300

Find the area of a parallelogram with base length 10cm, slant height 12 cm and height 8cm

Answer

A = bhb = 8cm; h = 10cmA = 8cm * 10cmA = 80cm2

Back

Area of Parallelograms for $400

Find x if the area of a parallelogram equals 60, the base = 5 and height = x+7

A = bh

60 = 5*(x+7) = 5x + 35

25 = 5x

x = 5

Answer

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Area of Parallelograms for $500

Find the area of parallelogram ABCD if

A(1,3); B(3,3); C(7,8); D(9,8)

AnswerBase length = 3-1 = 2Height = 8-3 = 5A = bhA = 2*5 A = 10u2

Back

Area of Triangles, Trapezoids and Rhombi for $100

Find the area of the following triangle:

4m

3m5m

Area of a triangle = (1/2)b*hb = 4m; h = 3mA = (1/2)*4m*3mA = 6m2

Answer

Back

Area of Triangles, Trapezoids and Rhombi for $200

Find the area of the following Trapezoid:

Answer

Area = (1/2)h(b1 + b2)

Area = (1/2)(7in)(8in + 12in)

Area = 70in2

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Area of Triangles, Trapezoids and Rhombi for $300

Find the area of the following Rhombus:

AnswerArea = (1/2)d1*d2

Area = (1/2)*16*16Area = 128m2

Back

Area of Triangles, Trapezoids and Rhombi for $400

Find the area of the following figure:

12m

18m

13m6m

Area of a trapezoid = (1/2)h(b1+b2)h = 13m; b1 = 6m; b2 = 12mA = (1/2)(13)(6+12)A = 9*13 = 117m2

Answer

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Area of Triangles, Trapezoids and Rhombi for $500

Find the area of a rhombus with vertices at A(3,6); B(3,-2); C(0,2); and D(6,2)

AnswerArea of a rhombus = (1/2)d1*d2

d1 = 6 - -2 = 8

d2 = 6 – 0 = 6A = (1/2)*6*8A = (1/2) * 48A = 24u2

Back

Area of Regular Polygons and Circles for $100

Find the circumference of the following circle. Leave your answer in exact terms

Answer

Cirfcumference = Π*d

C = 5.7Πcm

Back

Area of Regular Polygons and Circles $200

What is the formula for the area of a regular polygon?

Answer

Back

Area of a regular polygon:A = (1/2)P*aP = perimetera = apothem

Area of Regular Polygons and Circles for $300

Find the area of a circle with diameter 10ft

A = Π*r2

r = (1/2) d = (1/2)*10ft = 5ft

A = Π * 52

A = 25 Π ft2

Answer

Back

Area of Regular Polygons and Circles for $400

Find the area of a regular pentagon that has been inscribed in a circle with radius 8.

AnswerA = (1/2)P*aP = 5(1.18*8) = 47.2a = 0.81r = 0.81(8) = 6.4A = (1/2)*47.2*6.4 = 152.928u2

See Page 611

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Area of Regular Polygons and Circles for $500

Find the area of a regular octagon that has been inscribed in a circle with radius 10.

AnswerA = (1/2)P*aP = 8(0.77*10) = 61.6a = 0.92r = 0.92(10) = 9.2A = (1/2)*61.6*9.2 = 283.36u2

See Page 611

Back

Area of Irregular Polygons for $100

How do you find the area of irregular polygons?

AnswerBreak them up into smaller

figures of known area.

Back

Area of Irregular Polygons for $200

Find the area of the following figure:

Area = Area of square + area of triangle

Area = 13cm * 9cm + (1/2)11*5Area = 144.5cm2

Answer

Back

Area of Irregular Polygons for $300

Find the area of the following figure:

Area = 25ft*12.9ft + (1/2)25ft*7.2ft

Area = 412.5 ft2

Answer

Back

Area of Irregular Polygons for $400

Find the area of the following figure. Assume that the ice cream is a perfect circle of diameter 6cm and the cone is a triangle and there is no overlap in areas:

10cm5cm

Answer

Area = pi*r2 + (1/2)Bh

Area = pi*9 + (1/2)(5)(10)

Area = 53.27cm2

Back

Area of Irregular Polygons for $500

Find the area of the following figure if one side of the square in the middle is 10cm and is the diameter of the semi circle:

AnswerArea = 10cm * 10cm + 2*((pi)(5)2)

Area = 257.08cm2

Back

Geometric Probability for $100

What is the formula for geometric probability? Draw a picture to demonstrate the regions.

Answer

(Area of B)/(Area of A)

Back

AB

Geometric Probability for $200

What is the area of a sector of a circle if the central angle is 25 degrees and the radius is 5cm?

Answer

A = (N/360)(pi)r2

A = (25/360)(pi)(25)

A = 5.45cm2

Back

Geometric Probability for $300

What is the area of a sector of a circle if the central angle is 31 degrees and the diameter is 7cm?

AnswerA = (N/360)(pi)r2

A = (31/360)(pi)(12.25)

A = 3.31cm2

Back

Geometric Probability for $400

Given the following regular trapezoid, find the probability of a chosen point lying in the rectangle in the middle:

Answer

Back

P = Area of rectangle/ Area of trapezoid

P = (8*7)/(0.5*7*(14+8))

P = 56/77 = 73%

Geometric Probability for $500

Given the following circle with diameter 10, find the probability of a chosen point lying inside the region bounded by arc AB with central angle 115

Answer

Back

P = Area of sector/ Area of circle

P = (115/360)(pi*25)/(25pi)

P = 32%