The virtual geoboard shown at left in the margin has a rectangular array of 25 pins around which rubber bands have been placed. Notice the red polygon on the geoboard is divided into 6 squares and 7 half squares by blue bands. If one small square serves as a unit of area, then the total area of the polygon is 9 2 unit squares or 9 ½ square units. Eut n ves t In the following activities you will examine different methods for determining areas of polygons and discover how the formulas for the areas of rectangles, parallelograms, and triangles are related. The unit square for the areas in these activities is the smallest square with pins at its corners (1 unit by 1 unit), and the area of a polygon is the number of unit squares needed to cover the polygon. 1. In the figure for part a, the upper shaded triangle has an area of 1 square unit because it is half of a 2-unit by 1-unit rectangle. Similarly, the lower shaded triangle has an area of 1 ½ square units because it is half of a 3-unit by 1-unit rectangle. Determine the areas of these figures by subdividing them into squares, halves of squares, and triangles that are halves of rectangles. (Add screenshots of how you divided sections if possible!) *a. *b. C. Area of Figure: Area of Figure: Area of Figure:
The virtual geoboard shown at left in the margin has a rectangular array of 25 pins around which rubber bands have been placed. Notice the red polygon on the geoboard is divided into 6 squares and 7 half squares by blue bands. If one small square serves as a unit of area, then the total area of the polygon is 9 2 unit squares or 9 ½ square units. Eut n ves t In the following activities you will examine different methods for determining areas of polygons and discover how the formulas for the areas of rectangles, parallelograms, and triangles are related. The unit square for the areas in these activities is the smallest square with pins at its corners (1 unit by 1 unit), and the area of a polygon is the number of unit squares needed to cover the polygon. 1. In the figure for part a, the upper shaded triangle has an area of 1 square unit because it is half of a 2-unit by 1-unit rectangle. Similarly, the lower shaded triangle has an area of 1 ½ square units because it is half of a 3-unit by 1-unit rectangle. Determine the areas of these figures by subdividing them into squares, halves of squares, and triangles that are halves of rectangles. (Add screenshots of how you divided sections if possible!) *a. *b. C. Area of Figure: Area of Figure: Area of Figure:
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...
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If you can explain how to do this.. for I do not understand how to go about this.
Transcribed Image Text:The virtual geoboard shown at left in the margin has a rectangular
array of 25 pins around which rubber bands have been placed.
Notice the red polygon on the geoboard is divided into 6 squares
and 7 half squares by blue bands. If one small square serves as a
unit of area, then the total area of the polygon is 9 ½ unit squares
COMICA
A
Rasia Rarey
Souen
or 9 ½ square units.
ANGRRR &f
E umit squares and 7 have of unil equares
In the following activities you will examine different methods for
determining areas of polygons and discover how the formulas for
the areas of rectangles, parallelograms, and triangles are related.
The unit square for the areas in these activities is the smallest
square with pins at its corners (1 unit by 1 unit), and the area of a
polygon is the number of unit squares needed to cover the
polygon.
1. In the figure for part a, the upper shaded triangle has an area of 1 square unit because it is
half of a 2-unit by 1-unit rectangle. Similarly, the lower shaded triangle has an area of 1 ½
square units because it is half of a 3-unit by 1-unit rectangle. Determine the areas of these
figures by subdividing them into squares, halves of squares, and triangles that are halves of
rectangles. (Add screenshots of how you divided sections if possible!)
*a.
*b.
С.
Area of Figure:
Area of Figure:
Area of Figure:
Transcribed Image Text:2. Use geoboard techniques to determine the areas of these triangles. (Add screenshots of how
you divided sections if possible!)
a.
b.
С.
d.
Area of Figure:
Area of Figure:
Area of Figure:
Area of Figure:
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