Pre-Algebra : Geometry
Study concepts, example questions & explanations for Pre-Algebra
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Example Questions
Example Question #21 : Geometry
A square has a base length of 
Write the formula to find the area of a square given its side length.
Example Question #22 : Area Of A Rectangle Or Square
Find the area of a square if the perimeter is 
Write the formula for the area of a square.
In order to find the area of the square, we need to find the length of the side given the perimeter. There are four equal sides in a square. Divide the perimeter by 4.
Substitute the side in the area formula.
Example Question #23 : Area Of A Rectangle Or Square
Determine the area of a rectangle with a length and width of 
Write the formula for the area of a rectangle.
Substitute the given length and width into this equation.
The area of the rectangle is:
Example Question #22 : Geometry
Find the area of a rectangle if the base length is 
Write the formula for the area of a rectangle.
Substitute the dimension.
Use the distributive property to expand the area.
Multiply the terms.
Example Question #25 : Area Of A Rectangle Or Square
Find the area of a square if ths side of the square is 
Write the formula for the area of the square.
Substitute the side length into the formula.
Expand the terms. We can either use the product rule or power rule for exponents to solve this.
The area is:
Example Question #26 : Area Of A Rectangle Or Square
If the square has a length of 5 kilometers, what is the area of the square in meters?
Write the formula for the area of a square.
Convert 5 kilometers to meters.
There are 1000 meters in a kilometer.
Substitute this value into the area formula.
Example Question #23 : Geometry
Find the area of a square with a diagonal of 
In order to find the length of the side of the square, we need to use the following formula:
Substitute the diagonal into the formula to find the side.
Now that the side is known, write the formula for the area of the square.
Substitute the side length and expand.
Example Question #28 : Area Of A Rectangle Or Square
Mr. and Mrs. Johnson have a yard that looks like the following.
The length of the yard is 36 ft, and the width is a third of the length . If either of them have to mow their yard, what is the total area they will mow?
The width of the yard is a third of the length. If the length is 36ft, we must find what a third of 36 equals. To do that, we simply divide by 3.
So the width of the yard is 12ft.
The formula to find the area of a rectangle is
So the total area Mr. or Mrs. Johnson will have to mow is
Example Question #23 : Geometry
David wants to make a flower bed that is 10 feet long and 5 feet wide. He also wants to put a 2 foot-wide concrete path around it. How many square feet is the path?
A length of 10ft and path width of 2ft means each length has 20 square feet. The width of 5ft and path width of 2ft means each width is 10 square feet. Each corner also has a 4 square foot section, which means an extra 16 square feet. Add them together:
Example Question #30 : Area Of A Rectangle Or Square
What is the area of a square with a side length of 
To find the area of a square, simply multiply the side length by itself. Because the side length of the square in question is 
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