The Basics
What is a composite shape?
A shape made from two or more basic shapes shapes.
What is the area of a square?
A= l x w
or
A = s2
A figure composed of two rectangles. Rectangle one has a length of 6 and a width of 4. Rectangle two has a length of 5 and a width of 4. Find the area.
44
What is area?
How many square units a figure takes up.
or similar answer
A square has an area of 64 square units. What does one side measure?
8 units
How do you know if a shape is composite?
If it is made up of two or more basic shapes.
What is the area of a rectangle?
A= l x w
A figure is composed of a square and a triangle. The length of each side of the square is 4. The base of the triangle is 4 and the height is 7. Find the area.
30
What is the first step in finding the area of a composite shape?
Separating the figure into simpler shapes
A rectangle has a length of 10 cm and a width that is half of the length. Find the area of the rectangle.
50 square units
How do you find the area of a composite shape?
Find the area of each basic shape and add them together.
What is the area of a triangle?
A = 1/2 bh
or A = bh/2
A figure is composed of a rectangle with a triangle on each end. The length of the rectangle measures 3 and the width measures 2. The base of EACH triangle is 2 and the height of each triangle is 6. Find the area.
What is 18
Martina designed a painting on a canvas for an art project. The painting consists of 4 large squares with sides that measure 2ft. and one large rectangle with a length of 4ft. and a width of 1ft. Find the total area of her art project.
20 square ft
A triangle has an area of 90 sq. cm. Its base is 30 cm. What is the height of the triangle?
6 cm
True or False? A composite shape must have an even number of sides?
False
What is the area of a trapezium?
A = 1/2(a + b)h
A figure is composed of a rectangle and a triangle. The length of the rectangle is 3 units and the width is 3 units. The triangle has a base of 3 units and a height of 6 units. Find the area.
18 square units
Mrs. Watson has two whiteboards in her room. One is 3 ft. wide and 8 ft. long. The other is 2.5 ft. wide and 7 ft. long. What is the total area of the shape?
41.5ft.
A triangle has a base of 5 meters and a height that is twice its base. Find the area of the triangle.
25 square meters
True or False? A composite shape can have a maximum of 3 shapes.
False
What is the area of a parallelogram?
A = bh
A figure is composed of a triangle and a trapezoid. The base of the triangle is 8 units and the height is 4 units. The triangle sits on the trapezoid. One base of the trapezoid is 10 units. The height of the trapezoid is the same as the triangle. Find the total area. (HINT: DRAW THE FIGURE TO SOLVE)
What is 52 square units?
Mrs. Adams wants to build one large table with 5 smaller square tables. The tables are measured in feet. Each table has a side length of 6 ft. What is the total area of the large table?
180 square feet
A trapezium has an area of 30 square units. One parallel side measures 4 units and the other measures 6 units. Find the height of the trapezium.
6 units