All High School Math Resources
Example Questions
Example Question #641 : High School Math
What is the perimeter of a square with a side length of ?
To find the perimeter of a square, multiply the side length by :
Example Question #242 : Geometry
Quadrilateral ABCD contains four ninety-degree angles. Which of the following must be true?
I. Quadrilateral ABCD is a rectangle.
II. Quadrilateral ABCD is a rhombus.
III. Quadrilateral ABCD is a square.
II and III only
I only
II only
I, II, and III
I and II only
I only
Quadrilateral ABCD has four ninety-degree angles, which means that it has four right angles because every right angle measures ninety degrees. If a quadrilateral has four right angles, then it must be a rectangle by the definition of a rectangle. This means statement I is definitely true.
However, just because ABCD has four right angles doesn't mean that it is a rhombus. In order for a quadrilateral to be considered a rhombus, it must have four congruent sides. It's possible to have a rectangle whose sides are not all congruent. For example, if a rectangle has a width of 4 meters and a length of 8 meters, then not all of the sides of the rectangle would be congruent. In fact, in a rectangle, only opposite sides need be congruent. This means that ABCD is not necessarily a rhombus, and statement II does not have to be true.
A square is defined as a rhombus with four right angles. In a square, all of the sides must be congruent. In other words, a square is both a rectangle and a rhombus. However, we already established that ABCD doesn't have to be a rhombus. This means that ABCD need not be a square, because, as we said previously, not all of its sides must be congruent. Therefore, statement III isn't necessarily true either.
The only statement that has to be true is statement I.
The answer is I only.
Example Question #1 : Other Quadrilaterals
A quadrilateral with congruent sides is a __________.
rectangle
square, rectangle, or rhombus
square or rhombus
parallelogram
square or rhombus
A rhombus is any quadrilateral with four congruent sides. A square is a quadrilateral with four congruent sides and four right angles. A square is also a rhombus.
Rectangles will have two pairs of congruent sides, but not all four sides will be congruent.
Example Question #1 : How To Find The Perimeter Of A Rectangle In Pre Algebra
What is the perimeter of the rectangle?
The perimeter of a rectangle is the sum of the length of each of the four sides.
Since
substitute each in:
Example Question #642 : High School Math
Find the perimeter of a rectangle with length 8 inches and width 10 inches.
To find perimeter, add up all the sides. In a rectangle, there are 2 sets of identical sides so you can multiply the length by 2 and the width by 2 and combine them to get 36 inches.
Example Question #643 : High School Math
Find the perimeter of a rectangle with a length of 20 inches and a width of 12 inches.
Add up all of the sides of the rectangle to get 64 inches.
Example Question #3 : How To Find The Perimeter Of A Rectangle In Pre Algebra
What is the perimeter of a rectangle with a base of and a height of ?
To find the perimeter of a rectangle you must find the sum of all of the side lengths.
To do this we plug the base and height into the equation
With a base of and a height of our equation would look like
Multiply and add the numbers together
The answer is .
Example Question #5 : How To Find The Perimeter Of A Rectangle In Pre Algebra
What is the perimeter of a rectangle if the length is and the width is ?
The perimeter of a rectangle is .
Plug in our given information to solve:
Example Question #644 : High School Math
The perimeter is the sum of the length of all of the sides. We are given all of the side lengths in the figure, so we simply need to sum them together.
Example Question #7 : How To Find The Perimeter Of A Rectangle In Pre Algebra
What is the perimeter of a rectangle with a base of and a height of ?
To find the perimeter of a rectangle you must find the sum of all of the side lengths.
To do this, we plug the base and height into the equation .
With a base of and a height of our equation becomes .
Multiply and add the numbers together:
The answer is .