To solve these
will pull together
and skills that
you have studied
about area and
Pull It All Together
You can use formulas to find areas of polygons.
A real estate company sells plots of land. The plot shown at the
right costs $84,120. What is the price per square foot of the land?
Explain how you found your answer.
An arc length is a fractional part of the circumference of a circle. The area of a sector is
a fractional part of the area of a circle.
The stained glass circle-head window has a 2-in. wide frame. The grills
divide the semicircular glass pane into four congruent regions.
a. What is the area of the blue region?
b. What is the outside perimeter of the window frame?
The ratio of the perimeters and the ratio of the areas of two similar figures are related to
the ratio of the corresponding measures.
Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0),
E(4, 0) and F(2, 2!3). Suppose the sides of the hexagon are reduced by 40% to produce
a similar regular hexagon. What are the perimeter and area of the smaller hexagon
rounded to the nearest tenth? Explain how you found your answer.
Chapter 10 Pull It All Together
Copyright © 2011 Pearson Education, Inc.
Unit 10 Project Rubric
Finds correct composite area.
Shows all calculations to find area using
formulas learned in the unit.
Separates figure into two or more shapes and
finds each shape’s area correctly.
Finds cost per square foot
Finds area of blue region accurately
Finds perimeter of window frame accurately
Shows understanding for calculating area of
sectors of circles.
Shows correct calculations used to solve the
Accurately reduces size of hexagon by 40%.
Finds correct side length for smaller hexagon.
Finds correct perimeter of smaller hexagon.
Finds correct apothem lengths for smaller
Finds correct area of smaller hexagon.
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