## Measurement

### Middle School Level Questions on Area and Perimeter from the Dr. Math Archives

Middle School Dr. Math Questions on Measurement

Below are some questions and answers from our archive of questions sent via e-mail by K12 students and teachers to Ask Dr. Math. You may also browse the entire middle school level archive by category.

### Area and Perimeter

Area and Perimeter
I have a problem with finding area and perimeter - can you help me?
Area and Perimeter: Mowing the Lawn
How many circuits are necessary to cut half the lawn?
Area and Perimeter of Rectangles
There are two different rectangles whose sides are integers and whose area and perimeter are the same. Find the dimensions.
Area of a Parallelogram
How do you find the area of a parallelogram?
Area of a Rectangle Outside Another Rectangle
Find the area of a concrete swimming pool border.
Area of a Trapezoid
My daughter has been assigned to derive the formula for the area of a trapezoid rather than just looking it up.
Area: Triangle vs. Rectangle
Why do you have to use a different formula to get the area of a triangle than a rectangle or square?
Carpeting a Room
Please tell me how many square yards of carpeting are needed for the following room/closet.
If You Know Perimeter, Can You Find Area?
Can one determine the acreage of an irregularly shaped field if only the distance around the edge of the field (in feet) is known?
Length of the Sides of Polygons
How many feet should each side be in a regular octagon / hexagon / pentagon if the area is 7,000 square feet?
Length, Width of Rectangle Given Perimeter
If the perimeter of a rectangle is 300 and the length is two times the width...
Perimeter Equals Area in a Triangle
When will the area and perimeter of a right triangle be numerically equal?
Perimeter of Two Similar Objects"
Why do you lose area in a 4 x 12 rectangle as compared to an 8 x 8 square? Each has the same perimeter.
Relation of Perimeter to Area
I'm puzzled by the ability of two fences with the same perimeter to have very different areas inside them. I realize by LxW an 8' x 10' fence will have more area than a 6' x 12' fence, but WHY? Both fences have 18' surrounding them but different areas. Also does a circle or a square conserve more area with identical perimeters?
Teaching Area of Triangles
When I gave a Unit Assessment, all but one student got area of a triangle wrong. Where did I fail?
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Mara Landers