Pre-Algebra : Perimeter of a Rectangle or Square

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #41 : Perimeter Of A Rectangle Or Square

What is the perimeter of a square, if the square's area is 64 light years?

Possible Answers:

Correct answer:

Explanation:

What is the perimeter of a square, if the square's area is 64 light years?

To find the perimeter of a square, we need to find the length of the side.

Note that squares have 4 equal sides, so we can work backward from our area to find the side length:

However, we are not quite done. We still need to find the perimeter.

So the square is 32 light years in perimeter.

Example Question #42 : Perimeter Of A Rectangle Or Square

You want to build a fence around your yard. Your yard is a perfect square with one side having a length of 11 ft. How many feet of fencing do you need to surround your entire yard?

Possible Answers:

Correct answer:

Explanation:

The formula to find the perimeter of a square or rectangle is

where a, b, c, and d are the lengths of the sides.  We know that the yard is a perfect square, meaning all sides are equal.  We also know one side is 11 ft.  Using that information, we can substitute

Therefore, we need 44 ft of fencing to use on our entire yard.

Example Question #43 : Perimeter Of A Rectangle Or Square

John is a farmer he needs to create a pig pen to keep his pigs in. He only needs three sides of the fence because on side is his barn. One side of the fence needs to be  feet long because the barn is  feet long while the other two each need to be 10 feet long. How much fence will John use?

Possible Answers:

 feet

 feet

 feet

 feet

 feet

Correct answer:

 feet

Explanation:

One side of the fence is  feet long while the other two sides are each  feet.

This is a perimeter problem so you need to add the three numbers together.

So:

 

Example Question #44 : Perimeter Of A Rectangle Or Square

Michelle wants to put a fence up around all four sides of her rectangular garden, which measures 10 ft. long and 15 ft. wide. How long will her fence be? 

Possible Answers:

Correct answer:

Explanation:

Since the perimeter marks out the distance around a shape, you can imagine yourself walking around a shape to find the perimeter. For a rectangle, you would walk the same length twice (once on each side) and the same width twice (once on each side). That's why you multiply both the length and the width by 2. 

To find the perimeter, use the following formula:

 

Step 1: insert length and width into the formula

Step 2: solve

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