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
square has a side length of 5
a triangle has a base of 5 and a height of 2
a trapezoid has bases of 4 and 6 and a height of 1
What is the composite area?
30 un2
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
triangle has a base of 12 and a height of 4
a parallelogram has a base of 12 and a height of 11
what is the composite area
156 un2
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
I have a square with a length of 16 cm sitting on top of a rectangle that has a length of 24 cm and width of 8 cm. What is the composite area?
448 cm2
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
I have a triangle with lengths of 18 ft and height of 3 ft and a trapezoid with the same bases of the triangle plus a height of 6 ft. What is the composite area?
90 ft2
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
A trapezoid with bases of 10 and 7
A triangle with a base of 14
All the heights are 9
What is the composite area?
139.5 un2