Area Overview POD
1. Define the following terms:
a. Area:
b. Parallelogram:
c. Rectangle:
2. Find the area of a rectangle that has a width of 5 and a length of 8.
3. If the area of a rectangle is 20 sq cm and the length is 5cm, what is the
width?
4. Given 2 similar polygons with ratio of sides 2 to 5. Find the ratio of
a. Perimeter
b: area
Coordinate Geometry: Area of Polygons POD
1. Define or provide example of cyclic quadrilateral.
2. Find the area of a cyclic quadrilateral with sides 3, 5, 9, 5.
3. Find the ratio of the areas of a rectangle with base length of 15m and width
length of 8m and a triangle with side lengths of 9, 12 and 15.
4. Plot the following points: F(1, 3), I(4,3), V(4,0) and E(1,0).
a. Classify quadrilateral
y
5
4
3
2
b. Find area
1
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
1
2
3
4
5
x
Area of Basic & Irregular Shapes POD
1. What is the area of a square with sides 10?
2. What is the area of a square with a diagonal of 5?
3. Find the area of the following:
a.
b.
Area of Parallelograms & Irregular Shapes POD
1. What is the height in a parallelogram?
2. Find the area of the following parallelograms
a.
b.
3. What is the formula for the area of a rhombus?
Area of Triangles POD
1. What are the formulas for the area of a triangle? What do the letters in the
triangle area formulas stand for?
2. Find the missing side measurement and then find the area of the triangle.
3. Draw an equilateral triangle with sides = 10cm. What is the area of this
triangle?
Area of Trapezoids, Rhombi, and Kites POD
1. Find the area of an equilateral triangle with a perimeter of 39in 2.
2. Given a triangle with area 1050 and base of 60, find the height of the
triangle.
3. Draw and label each part of a trapezoid.
4. What is the formula for finding area of:
a. A Trapezoid:
b. A Rhombus
c. A Kite
Area of Circles, Sectors & Segments POD
1. Given a circle with radius 10, find the area of the circle.
2. Given a rhombus with diagonals 50 and 30, find the area of the rhombus.
3. What is a sector? How do you find its area?
Area of Regular Polygon POD
1. Define the following: a. Regular Polygon
b. Apothem
2. Given an equilateral triangle with side lengths of 10, find the area of the
triangle.
3. A regular pentagon has side lengths of 10in. What is the area of this
pentagon?
Area of Inscribed/Circumscribed Polygons POD
1. A regular polygon has a perimeter of 40 and an apothem of 5. Find the area.
2. Find the area of the equilateral triangle that has a perimeter of 9.
3. For the diagram below, which shape is a) inscribed
4. Find the area of the white area below:
a.
b.
b) circumscribed?
Area: Real-World Apps POD
1. A piece of fabric measures 50 by 45inches. A triangular scarf with a height of 20in and a base of 30in is
cut from the fabric. How much is left over?
2.
Prove that the area of a trapezoid is ½ h(b1 + b2) by drawing a diagonal and using the two triangles
formed.
3. At 40 cents per square foot, how much would it cost to paint a rectangular floor whose width is 9ft and
whose diagonal is 15ft? $43.20
Area Review POD
1. If a regular octagon with an apothem of 5cm has area of 60cm2, what is the length of each side?
2. Find the area of square with diagonal 10.
3. Find the area of an equilateral triangle with a side of length 8 in.
4. If the diagonals of a rhombus are 24cm and 45cm, find the area and the perimeter of the rhombus.
Find the area of the figures below.
5.
6.
7.
8. Find area of the segment.
9. Find area of sector ABC
10. Find area of shaded
region.
11.
12. Cyclic quadrilateral with
sides 3, 5, 9, 5.
13. One triangle has sides of 14, 14 and 15. Another triangle has sides 13, 19 and 16. Find the ratio of their
areas.