Area Formulas

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A R E A
Area is a measure of how much surface is covered by a figure.
Cut out the section from the formula chart that represents the area of a square and glue it here.
Area of a Square:
A=s
2
Spell out all parts of the formula: ____________________________________
Label each side of the square: (use a tic to indicate the sides that are the same
measurements) Use the word “side” on each side.
Types of problems that would use the area of a square:
*Find the area covered by the rug.
*Find the square units of grass for the yard.
*Find the area of the wooden frame that is painted.
Here is an example of a problem using the area of a square:
Mary and her sister made a quilt that measured 6 feet on each side. What
is the total area of the quilt?
Show the steps to find the area of a square in the problem:
(Copy the formula first!)
A R E A
AREA is a measure of how much surface is covered by a figure.
Cut out the section from the formula chart that represents the area of a rectangle and glue it here.
Area of a Rectangle:
A=
l
x w
Spell out all parts of the formula: ____________________________________
Label each side of the rectangles: length and width
Types of problems that would
use the area of a rectangle:
*Find the area of the football field.
*Find the area of the window pane.
*Find the area of the quilt.
What are the dimensions of the rectangle? ____________________________
Here is an example of a problem using the area of a rectangle:
The largest jigsaw puzzle ever made was 85 by 55 feet and had 15,520 pieces.
It was constructed by the United Way in Keene, New Hampshire.
Show the steps to find the area of a rectangle in the problem:
A R E A
AREA is a measure of how much surface is covered by a figure.
Cut out the section from the formula chart that represents the area of a triangle and glue it here.
Area of a triangle: A = ½bh
OR A = bh
2
Spell out all parts of EACH formula: ________________________________________ OR
____________________________________________________________________
Label the parts of the triangle: base, height and 90º angle.
Types of problems that would
use the area of a triangle:
*Find the base of the triangle.
*Find the height of the triangle.
*What is the area of the triangle?
Here is an example of a problem using the area of the triangle:
Find the area of the triangle if the base is 20 inches and
the height is 15 inches.
Show the steps to find the area of the triangle in the problem:
A R E A
AREA is a measure of how much surface is covered by a figure.
Cut out the section from the formula chart that represents the area of a trapezoid and glue it here.
Area of a Trapezoid: A = ½ (b₁ + b₂)h
OR A = (b₁ + b₂)h
2
Spell out all parts of EACH formula: ________________________________________ OR
____________________________________________________________________
Label the parts of the trapezoid: base one, base two, height
and 90º angle.
Types of problems that would
use the area of a trapezoid:
*Find the area of the trapezoid.
*Find the height of the trapezoid.
*Find the measure of base₁.
Here is an example of a problem using the area of the trapezoid:
Show the steps to find the area of the trapezoid in the problem:
BASE
A R E A
BASE AREA is the area of base (bottom surface) of a three-dimensional
figure. In a formula, it is always represented with a capital letter B.
Cut out the sections from the formula chart that represents the area of the base and glue it here.
2
Name the three places where you will find the following formulas:
1) V = Bh ___________________________________________________________
2) V = Bh ___________________________________________________________
3) V = Bh ___________________________________________________________
Use words to express the formula: V = Bh
________________________________________________________________________
Shade in the base area of each of the following figures and label the height:
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