Area of Plane Shapes

 Triangle  مثلث Area = ½ b × h b = base h = vertical height Square  مربع Area = a2 a = length of side Rectangle  مستطيل Area = w × h w = width h = height Parallelogram  متوازي أضلاع Area = b × h b = base h = vertical height Trapezoid (US)  شبه منحرف Trapezium (UK)                Area = ½ (a+b) × h h = vertical height Circle  دائرة Area = π r2 Circumference=2π r r = radius Ellipse  بيضاوي Area = π a b Sector  قطاع Area = ½ r2 θ r = radius θ = angle in radians

Here is an example:

Example: What is the area of this rectangle?

The formula is:

Area = w × h
w = width
h = height

w = 5 cm and h = 3 cm, so:

Area = 5 × 3 = 15 cm2

 Find the area of the following shapes أوجد مساحة الأشكال التالية 1- What is the area of the triangle? أوجد مساحة المثلث h = 6 cm, b = 5 cm A 8.5 B 15 C 17 D 30 2- What is the area of the square? أوجد مساحة المربع a = 5 m A 12.5 B 20 C 25 D 52 3- What is the area of the rectangle? أوجد مساحة المستطيل h = 3 mm, w = 7 mm A 10.5 B 14 C 20 D 21 4- What is the area of the parallelogram? أوجد مساحة متوازي الأضلاع h = 5 cm, b = 8 cm A 40 B 30 C 26 D 20

 5- What is the area of the trapezoid? أوجد مساحة شبه المنحرف a = 3.5 m, h = 4 m, b =7.5 m A 20 B 22 C 30 D 44 6- What is the area of the circle? أوجد مساحة الدائرة r = 14 mm, π = 22/7 A 88 B 308 C 196 D 616 7- What is the area of the ellipse? أوجد مساحة الشكل البيضاوي a = 4 cm, b = 7 cm, π = 22/7 A 34.57 B 77 C 88 D 176 8- What is the area of the sector? أوجد مساحة القطاع θ = 2.5 rad, r = 4 m A 20 B 16 C 12.5 D 10