Download Elementary Algebra section 2.6 Plane geometry problems Perimeter

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Elementary Algebra
section 2.6
Plane geometry problems
Perimeter and Areas of some plane figures.
(1)
rectangle of sides a and b:
P = 2(a+b),
(1)'
square of sides a:
P = 4a,
(2)
triangle of base b and height h,
(3)
parallellogram of base b and height h,
A= ab
A = a2
A = 12 bh
A = bh
Def
(1) Angles A and B are complementary angles if m(nA) + m(nB) = 90 degrees.
(2) Angles A and B are supplementary angles if m(nA) + m(nB) = 180 degrees.
Thm
Sum of 3 interior angles in a triangle equals 180 degrees.
Ex1, Given a rectangle, its length is 3 inches more than 4 times its width. The perimeter of the rectangle is 96
inches.
Find the length and the width of the rectangle.
(a) Set up an equation (or a system). (b) Solve
Ex2,
The size of one angle is 10 degrees more than 3 times the complementary of that angle. What is the angle?
(a) Set up an equation (or a system). (b) Solve
Ex3,
In a triangle, second angle is 20 degrees more than the first angle. The third angle is 35 degrees
larger than the second angle. What are the angles in the triangle?
(a) Set up an equation (or a system). (b) Solve
Ex4,
Let there be an angle. Its supplementary angle is 40 degree more than 3 times its complement.
Find the angel?
(a) Set up an equation (or a system). (b) Solve
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