Parallelograms
Triangles
Trapezoids
Identifying Shapes
Perimeter
100
Vic is gluing pieces of wood shaped like parallelograms together to make a counter top. What is the area of one piece of wood?
A = 200 cm2
100
What is the area of the triangle?
A = 157.5 mm2
100
What is the area of the trapezoid?
A = 105 cm2
100
If you forget the formula for the area of a triangle, how could you figure it out using what you know about the area of other shapes?
A triangle is half a parallelogram, so it is half the area formula for a parallelogram.
100
A rectangle has vertices A(1,2), B(1,9), C(7,9), and D(7,2). Find the perimeter of the rectangle.
__ units
24 units
200
What is the missing height of the parallelogram?
h = 15.5 m
200
What is the missing dimension of the triangle?
h = 8.5 m
200
The eye bank building, in Venice, Italy, was designed by a firm that creates unique building designs that work with the surrounding landscape and maximize efficient energy use. The trapezoidal design of this building deflects solar heat while still allowing natural light. What is the area of the trapezoid?
A = 522 m2
200
The pattern of the new wallpaper in Han's bedroom is a regular polygon known as a heptagon. Each heptagon can be decomposed into 7 congruent triangles. How could you find the area of one heptagon using the information provided?
Find the area of a triangle and multiply that number by 7.
200
A rectangle has vertices A(3,6), B(3,8), C(7,8), and D(7,6). Find the perimeter of the rectangle.
12 units
300
The flag has a yellow middle stripe that resembles a parallelogram. What is the area of the yellow middle stripe?
A = 120 in2
300
What is the area of the triangle shown?
A = 1350 cm2
300
The trapezoid has an area of 420 square feet. What is the height of the trapezoid?
h = 24 ft
300
Part A) Draw the polygon whose vertices are (-1, 0), (-3, 0), (-3, -7), and (-1, -7).
Part B) What shape do these ordered pairs make?
Part A) 
Part B) Rectangle
300
Find the perimeter of the amusement park shown on the coordinate plane.
16 units
400
Natasha is sewing pieces of material together to make a pillow case. Each piece is in the shape of a parallelogram, as shown. The area of one piece of material is __ square centimeters.
A = 4.5 cm2
400
The sail of a sailboat resembles a right angle. If the canvas that makes up the sail has an area of 54 square feet, what is the height h of the sail?
h = 12 ft
400
Find the area of this trapezoid.
A = 52 in2
400
Part A) How many sides does a quadrilateral have?
Part B) Give 4 examples of shapes that are quadrilaterals.
A) A quadrilateral has four sides.
B) Answers could include a square, rectangle, trapezoid, rhombus, diamond, or a kite.
400
Find the perimeter of the playground shown on the coordinate plane.
24 units
500
What is the combined area of all of the blue pieces of fabric in the pattern shown?
A = 120 mm2
500
Sammy is covering a triangular-shaped portion of a roof with asphalt shingles.
Part A) What is the area of the triangular section of roof?
Part B) The shingles that Sammy chooses each cover 0.4 square foot. How many shingles will Sammy need to purchase to cover that portion of roof? (Round to the nearest whole number)
Part A) 94.25 ft2
Part B) 236 shingles
500
Nathaniel builds tables with tops in the shape of a trapezoid. What is the area of his table?
7ft2
500
Which shapes can be identified as a parallelogram? Select all that apply.
A) Square
B) Trapezoid
C) Triangle
D) Rhombus
E) Rectangle
A, D, and E
Square, Rhombus, and Rectangle
500
Find the area and perimeter of the rectangle with vertices (-2, 5), (-2, -3), (1, -3), (1,5)
Part A) What is the area of the rectangle?
Part B) What is the perimeter of the rectangle?
A) Area = 24 units2
B) Perimeter = 22 units2