Area of Parallelograms and Triangles
Pythagorean Theorem and Special Right Triangles
Area of Trapezoids, Rhombuses, and Kites
Area of Regular Polygons
Trigonometry and Area
100
The formula for finding the area of a parallelogram.
A=bh
100
The Pythagorean Theorem
a^2+b^2=c^2
100
The trapezoid area formula.
A=1/2(b_1+b_2)h
100
The formula for area of regular polygons and what each variable means.
A=1/2ap , where a is the apothem and p is the perimeter.
100
The trig area formula for a triangle.
A=1/2bcsin(A)
200
The non-trig formula for the area of a triangle.
A=1/2bh
200
The two special kinds of right triangles, by their angles.
45^\circ-45^\circ-90^circ "and "30^circ-60^circ-90^circ
200
The rhombus and kite area formula.
A=1/2d_1d_2
200
Find the area of the regular polygon. Round to the nearest tenth, if necessary.
287.6
200
A regular pentagon has a side length of 11 yards. Find the length of the apothem to the nearest tenth.
7.6 yards.
300
A parallelogram has a base length of 12cm and an area of 132cm2. What is the height?
11cm.
300
Determine if a triangle with side lengths 6, 8, and 9 is acute, right, or obtuse.
Acute
300
Find the area of the kite.
160m2
300
An equilateral triangle has a side length of 6 acres. Find the length of the apothem.
sqrt3" acres"
300
A regular nonagon (9-sided) has a radius of 15 meters. Find the side length, to the nearest tenth.
10.3 meters
400
A triangle has a height of 7 miles and an area of 84 miles2. What is the length of the base?
24 miles
400
The legs of a 45-45-90 right triangle measure 9cm. Find the length of the hypotenuse, in simplest radical form.
9sqrt2cm
400
Find the area of the trapezoid. 
33cm2
400
Find the area of the regular polygon. Give your answer in simplest radical form.
150sqrt3
400
Find the area of a regular quadrilateral with an apothem of 2 meters.
16 meters2
500
A diagonal of a rectangle is 13 feet long, and one of its sides is 5 feet long. Find the area of the rectangle.
A=60ft2
500
The long leg of a 30-60-90 right triangle measures 15in. Find the lengths of the short leg and hypotenuse in simplest radical form.
Shorter leg= 5sqrt3" in"
Hypotenuse= 10sqrt3" in"
500
Find the area of the trapezoid. Leave in simplest radical form.
52sqrt3ft^2
500
Find the area of the regular polygon. Give your answer in simplest radical form.
16sqrt3
500
A regular octagon has a radius of 9 meters. Find the area, to the nearest tenth.
229.1 meters2