GED Math : Geometry and Graphs
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Example Question #321 : Geometry And Graphs
A rectangle has a diagonal of 
Notice that the question gives us the hypotenuse of a right triangle that has two sides of the rectangle as legs.
Use the Pythagorean Theorem to find the missing side of the rectangle.
Now, add together the sides to find the perimeter of the rectangle.
Make sure to round to two places after the decimal.
Example Question #31 : Squares, Rectangles, And Parallelograms
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 #32 : Squares, Rectangles, And Parallelograms
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 side is 8cm. Because it is a square, all sides are equal. Therefore, all sides are 8cm. So, we substitute. We get
Example Question #31 : Perimeter And Sides Of Quadrilaterals
Find the perimeter of a rectangle with a length of 12in 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 12in. We know the width of the rectangle is a third of the length. Therefore, the width is 4in. So, we can substitute. We get
Example Question #32 : Perimeter And Sides Of Quadrilaterals
Find the perimeter of a square with a width of 12in.
To find the perimeter of a square, we will use the following formula:
where a is any side of the square. Because a square has 4 equal sides, we can use any side within the formula.
Now, we know the square has a width of 12in. So, we can substitute. We get
Example Question #321 : 2 Dimensional Geometry
What is the perimeter of a square with a side length of 
The square has four congruent sides.
Multiply the side length by four.
The answer is:
Example Question #322 : 2 Dimensional Geometry
What is the perimeter of a square if the side length is 
A square has four congruent sides.
Multiply the quantity by four.
The answer is:
Example Question #33 : Squares, Rectangles, And Parallelograms
The above rectangle has area one square foot. Give its height.
One square foot is equal to 144 square inches. The area of a rectangle is equal to its length times its height:
Set 
Divide both sides by 16 to solve for 
The height of the rectangle is 9 inches.
Example Question #34 : Squares, Rectangles, And Parallelograms
The ratio of the length of a rectangle to its width is 6 to 5. The perimeter of the rectangle is 99. Give its length.
The ratio of the length of a rectangle to its width is 6 to 5, so if we let 
Multiply both sides by 
The perimeter of the rectangle is equal to
Set this equal to 99 and set 
Simplify:
Collect like terms by adding coefficients:
Reduce:
Multiply both sides by 
the correct length.
Example Question #323 : 2 Dimensional Geometry
Your mother made a casserole in a pan whose length is 9 inches and whose width is one and a half times the length. What is the perimeter of the casserole pan?
Not enough information to solve.
Your mother made a casserole in a pan whose length is 9 inches and whose width is one and a half times the length. What is the perimeter of the casserole pan?
To find the perimeter, you need to add up all the side lengths. First, however, we need to find our width.
We can find our width by using the clue: "...one and a half times the length"
So, do the following:
Next, let's find our perimeter:
So, our answer is 45 in
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