Basic Geometry : How to find the perimeter of a rectangle

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

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Example Question #51 : How To Find The Perimeter Of A Rectangle

Find the perimeter of a rectangle given length 7 and width 2.

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the perimeter of a rectangle. Thus,

If the formula escapes you, simply draw a picture and add all of the sides together. Rememeber, a rectangle has 4 sides, two are equal and the other 2 are equal.

Example Question #51 : How To Find The Perimeter Of A Rectangle

A rectangle has an area of . The rectangle's sides have values of cm and cm. What is the perimeter of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First, we must solve for . The formula for the area of a rectangle is . Because we know the area is , and the length and width are  and , we can plug these in to solve for , as follows:

Since we know that , we can use this to solve for the sides of the rectangle:

and

We can now use these values to solve for the rectangle's perimeter:

Therefore, the perimeter of the rectangle is .

Example Question #472 : Basic Geometry

A rectangle has an area of . What is the perimeter of the rectangle?

Possible Answers:

Not enough information is given. 

Correct answer:

Not enough information is given. 

Explanation:

Not enough information is given to solve this problem. While  is a possible answer (assuming all of the sides of the rectangle are ), because it is a rectangle, you cannot assume that all of the sides are the same. Because  is not a prime number, there is more than one combination of numbers that could work out to equal an area of 

Example Question #54 : How To Find The Perimeter Of A Rectangle

 

Horton's Tile and Fixtures cuts Spanish tile in a rectangular shape that is wide and has an area of . What would be the perimeter of a cut Spanish tile?

Possible Answers:

Correct answer:

Explanation:

Since we know the width and area, we can determine the length by using the equation for area of a rectangle:

Now that we know the length of the tile, we can solve for perimeter:

Example Question #473 : Basic Geometry

If the length of a rectangle is 2 inches longer than the width, and the width is  , what is the perimeter of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First we need to know that the square root of 4 is 2, we can know this because because if we work backwards we see that 2 x 2= 4, so we know the width of the rectangle is 2.

 

Since the length is 2 more than the width, we add 2 + 2 and get a length of 4 inches.

 

Now we can draw the rectangle and label each width (short side) with a measure of 2 inches and each length (long side) with a measure of 4 inches.

Now all we need to do is add up all the sides, so we have 2 + 2 + 4 + 4 which equals 12.

 

Since we are adding, and the measurements are in inches, our answer is .

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