GED Math : 2-Dimensional Geometry
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Example Questions
Example Question #13 : Perimeter And Sides Of Quadrilaterals
The perimeter of a square is 68in. Find the length of one side.
A square has 4 equal sides. To find the perimeter of a square, we will use the following formula:
where a is the length of one side of the square. Because a square has 4 equal sides, we can use any side in the formula. To find the length of one side, we will solve for a.
Now, we know the perimeter of the square is 68in. So, we can substitute and solve for a.
Therefore, the length of one side of the square is 17in.
Example Question #311 : Geometry And Graphs
Find the perimeter of a rectangle with a length of 6in and a width that is a third of the length.
To find the perimeter of a rectangle, we will use the following formula:
where l is the length and w is the width of the rectangle.
Now, we know the length of the rectangle is 6in. We also know the width is a third of the length. Therefore, the width is 2in. So, we can substitute. We get
Example Question #312 : Geometry And Graphs
Use the following rectangle to answer the question:
Find the perimeter.
To find the perimeter of a rectangle, we will use the following formula:
where l is the length and w is the width of the rectangle.
Now, given the rectangle
we can see the length is 11in and the width is 5in. So, we can substitute. We get
Example Question #313 : Geometry And Graphs
Use the following square to answer the question:
Find the perimeter.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, given the square
we can see one length of the square is 8cm. Because it is a square, all sides are equal. Therefore, all sides are 8cm. So, we can substitute. We get
Example Question #314 : Geometry And Graphs
Find the perimeter of a square with a length of 11in.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, we know the length of the square is 11in. Because it is a square, all sides are equal. Therefore, all sides are 11in. So, we can substitute. We get
Example Question #315 : Geometry And Graphs
Use the following rectangle to answer the question:
Find the perimeter.
To find the perimeter of a rectangle, we will use the following formula:
where l is the length and w is the width of the rectangle.
Now, given the rectangle
we can see the length is 9cm and the width is 7cm. So, we can substitute. We get
Example Question #316 : Geometry And Graphs
Find the perimeter of a rectangle with a width of 7in and a length that is two times the width.
To find the perimeter of a rectangle, we will use the following formula:
where l is the length and w is the width of the rectangle.
Now, we know the width of the rectangle is 7in. We know the length is two times the width. Therefore, the length is 14in. So, we can substitute. We get
Example Question #317 : Geometry And Graphs
Find the perimeter of a rectangle with a length of 
There are two congruent lengths and two congruent widths in a rectangle.
The perimeter is the sum of all length and width.
The answer is:
Example Question #318 : Geometry And Graphs
Find the perimeter of a square if the area is 60.
Write the formula for the area of a square.
Substitute the area into the equation.
Square root both sides.
Simplify both sides and factor the radical by using factors of perfect squares.
Multiply the side by four since the square has 4 congruent sides.
The answer is:
Example Question #311 : 2 Dimensional Geometry
If the side of a square has a length of 
The perimeter of a square is four times the length since, all four sides are congruent.
The answer is:
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