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Area

The problems in this section explore the numerical and/or physical properties of area.
 Related Resources

Interactive resources from our Math Tools project:
Math 7: Measurement: Area
The closest match in our Ask Dr. Math archives:
Middle School: Measurement
NCTM Standards:
Measurement Standard for Grades 68
Access to these problems requires a Membership.

Baking Blackberries
 Annie Fetter

PreAlgebra, difficulty level 1. Which rectangular baking dish should I use?
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The Big Picture!
 Judy Ann Brown

PreAlgebra, difficulty level 3. A picture is enlarged to four times its area.
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Building Fences
 Judy Ann Brown

PreAlgebra, difficulty level 3. Plan a garden so as to maximize the area surrounded by a 36yard fence.
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Building on Water
 Judy Ann Brown

PreAlgebra, difficulty level 4. Find the area of a circular pond not covered by a rectangular building.
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Cork Costs
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Find reasonable prices for the different sizes of cork.
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Dividing Daffodils
 Suzanne Alejandre

PreAlgebra, difficulty level 4. Help us plant our garden of daffodils.
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Fences for Fido and Friends
 Annie Fetter

PreAlgebra, difficulty level 2. Find the area of each rectangular dog pen.
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Geo in Jeopardy
 Richard Tchen

PreAlgebra, difficulty level 3. Find the dimensions of the threedimensional phone booth.
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Golfing Luck?
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Work with probability on the practice hole of the golf course.
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Graphing for Area
 Judy Ann Brown

PreAlgebra, difficulty level 2. Graph six points and find the area of the resulting hexagon.
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He Ate It All!
 Mr. Marthinsen's Geometry Class

PreAlgebra, difficulty level 3. The professor ate an entire pizza in 28 minutes. Figure out the size of the pizza.
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How Wide Is My Garden?
 Judy Ann Brown

PreAlgebra, difficulty level 3. A scale drawing is used to determine the width and area of a garden.
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Office Tile Choice
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the total cost of purchasing tiles for my office.
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Partial Area
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the area of the portion of the circle that is not included inside the inscribed square.
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Photo Wall
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Find the dimensions of the large poster.
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Pizza Pie
 Judy Ann Brown

PreAlgebra, difficulty level 3. Use the given information to decide how many slices of the small pizza would be equal to or greater than 3 slices from the large pizza.
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A Quilt Made of Squares
 Annie Fetter

PreAlgebra, difficulty level 3. Using the information given, will the finished quilt be in the shape of a
square?
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Shine On Harvest Moon
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the area of the largest circle that can be cut from a nineinch by twelveinch sheet of paper.
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Spring Garden Planning
 Judy Ann Brown

PreAlgebra, difficulty level 4. Find the area as well as the length and width of my fractional garden.
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A Stellar Garden
 Bill Marthinsen

PreAlgebra, difficulty level 3. Martha Stewart wants to rebuild her ugly garden. She needs help calculating the areas in the new garden.
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A Surfer's Tessellation
 Mr. Marthinsen's First Period Class

PreAlgebra, difficulty level 2. Shane is retiling his surf shack. How many of each kind of tile will he need, and what does a big tile cost?
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Tiling Tables
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Find a method to quickly calculate the dimensions of a rectangular table top with a given area so that it has the smallest possible perimeter.
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Tiling Triangles
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Given the dimensions of a large triangle, find the dimensions of the 25 small triangles that tile it.
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Volume Experiment
 Judy Ann Brown

Math Fundamentals, difficulty level 2. Make a prediction, conduct an experiment, and report your findings.
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Watch Where You Step!
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Using statistics about slugs, about how many might be in a certain sized yard?
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Women's Walkway
 Suzanne Alejandre

PreAlgebra, difficulty level 2. How many bricks would it take to cover the full area of the pattern
sample? What's the
area?
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Wondering about Water
 Annie Fetter

PreAlgebra, difficulty level 3. Find the surface area of an Olympicsize ice hockey rink.
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