What is a composite figure?
A figure made from two or more geometric figures (or shapes).
What is the area of a parallelogram?
a= b x h
A figure composed of two rectangles.
Rectangle one has a base of 6 and a height of 4. Rectangle two has a base of 5 and a height of 4.
What is the total area?
44 units2
Find the area of the trapezoid below.
114.66 in2
What is the definition of a parallelogram?
A quadrilateral that has two sets of parallel lines
How do you know if a figure is composite?
If it is made up of two or more geometric figures or shapes.
When finding the area, you need to be sure the #s used meet at this angle measure
What is 90 degrees
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.
What is the total area?
30 units2
What is the area of the figure below?
30 m2
Mrs. Gomez 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 both boards?
41 square feet
How do you find the area of a composite figure?
Find the area of each figure and add them together.
What is the area of a triangle?
A=1/2bh
A figure is composed of a rectangle with two triangles on each end.
The base of the rectangle measures 3 and the height measures 2.
The base of EACH triangle is 2 and the height of each triangle is 6.
What is the total area?
18 units2
!!DAILY DOUBLE!! Martina designed a painting on a canvas for an art project. What is the area of the shaded region which is made up of a rectangle and a trapezoid?
rectangle: A=6x4=24
trapezoid: A=1/2x2(4+6)= 10
Total area of 34 units2
What is the area of the shaded region?
60 squared centimeters
True or False? A composite figure must have an even number of sides?
False
What is the area of a trapezoid?
A=1/2h(b1 + b2)
The area of a rectangle is 80 cm2 . If the base is 16 cm, what is the height? Show the formula and substitution to solve for h.
What is 5 cm.
Mrs. Reinhardt 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 whiteboard area?
41.5 ft2
Mr. Rodriguez wants to build one large table with 5 smaller tables. The tables are measured in feet. The measurements are 3 by 8, 2 by 9, 5 by 25, 6 by 24, and 7 by 14. What is the total area of the large table?
409 squared feet
True or False? A composite figure can have a maximum of 3 shapes.
False
How do you determine which sides of a trapezoid are the bases?
the two parallel sides are the bases
The area of a triangle is 6 in2 . If the height is 6 in, what is the base? Show substitution into the formula to solve for h.
What is 2 in.
Find the area of the shaded region IN the rectangle above (ignore the dark grey)
A= bh
A=14x8
A= 112 mm2
A=1/2bh
A=.5 x 10 x 5
A=25 mm2
Shaded region = 112-25 = 87 mm2
Height of a parallelogram with a base of 16.8 and an area of 90.72 square units.
5.4 units