High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #641 : High School Math

What is the perimeter of a square with a side length of ?

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

II and III only

I only

II only

I, II, and III

I and II only

Correct answer:

I only

Explanation:

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 __________.

Possible Answers:

rectangle

square, rectangle, or rhombus

square or rhombus

parallelogram

Correct answer:

square or rhombus

Explanation:

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

Rectangle

What is the perimeter of the rectangle?

Possible Answers:

Correct answer:

Explanation:

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. 

Possible Answers:

Correct answer:

Explanation:

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. 

Possible Answers:

Correct answer:

Explanation:

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 ?

 

 

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a rectangle is .

Plug in our given information to solve:

 

Example Question #644 : High School Math

Calculate the perimeter of the polygon.

Number_1

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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 .

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