How to find the perimeter of square - ISEE Middle Level Math

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Question

Sandy wants to put a border around her son’s nursery. If all four square walls in the room have the same width and use up feet of border, what is the length of one wall?

Answer

When Sandy puts the border around her son's room, she will need enough to cover the perimeter. Since the room has four walls equal in length, we know that the room is a square. The perimeter of a square can by found by adding all the sides together, or by multiplying the length of one side by 4. This can be written as:

Since we know that Sandy used feet of border, we know the perimeter is . We can now write an equation:

Now, in order to isolate the variable, we can divide both sides by four.

The left-hand side simplifies to:

The right-hand side simplifies to:

When we solve, we find that the length of each wall is .

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Question

5x3-adams-graphoc

Use this image for the following problem.

What is the perimeter of the square in this picture?

Answer

The question only is looking for a part of the picture, just the square. With squares, the rule is that all the sides are equivalent, meaning the same lengths and all angles are right angles.

Perimeter means adding up all the sides together. So we just need to add the lengths of the sides of the square. Uh oh, we only have one side that is listed.

Again, remember that with squares the sides are equivalent, and we know one side is 5 inches. We just need to take because a square has 4 sides.

Our perimeter is .

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Question

Find the perimenter:

Question_4

Answer

The perimeter is equal to the sum of the length of all sides. Each side is equal to . Therefore, the perimeter equals:

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Question

Find the perimeter of a square with side length 10.

Answer

To solve, simply multiply the side length by 4 since all sides in a square area equal. Thus,

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Question

A new building in New York City will have a footprint that is a perfect square, taking up a complete city block. If one city block is of a mile, what is the perimeter of the building?

Answer

A new building in New York City will have a footprint that is a perfect square, taking up a complete city block. If one city block is of a mile, what is the perimeter of the building?

To find the perimeter of a square, we need to multiply the side length by 4.

Our side length is mile, so do the following to find our answer:

So the perimeter is

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Question

Use the following to answer the question.

Square1

Find the perimeter of the square.

Answer

To find the perimeter of a square, we use the following formula:

where a, b, c, and d are the lengths of each side.

Now, we know that a square has equal sides. So given the square

Square1

we know that each side equals 6ft. So, we can use this to substitute into the formula. We get

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Question

Find the perimeter of a square with a width of 8 inches.

Answer

To find the perimeter of a square, we use the following formula:

where a, b, c, and d are the lengths of the sides of the square.

Now, we know the width of the square is 8 inches. Because it is a square, we know all sides are equal. Therefore, all sides are 8 inches. Knowing this, we can substitute into the formula. We get

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Question

You are playing Monopoly and notice that the dice is a cube. If the dice has a height of 2 centimeters, what is the perimeter of one of its surfaces?

Answer

You are playing Monopoly and notice that the dice is a cube. If the dice has a height of 2 centimeters, what is the perimeter of one of its surfaces?

Begin by realizing that we need to find the perimeter of a square.

Next, recall that the height of a cube is the same as its length and width. In other words, one surface of a cube will be a square with sides equal to the height of the cube.

Armed with this knowledge, we can find the perimeter of the square.

So our answer is 8cm

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Question

A square stamp has an edge length of 6 centimeters, what is its perimeter?

Answer

A square stamp has an edge length of 6 centimeters, what is its perimeter?

To find the perimeter of a square, we simply can multiply the edge length by 4.

Doing so yields:

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Question

Find the perimeter of a square that has a base of length 9 inches.

Answer

To find the perimeter of a square, we will use the following formula:

where a, b, c, and d are the lengths of each side of the square.

Now, we know the base has a length of 9 inches. Because it is a square, we know that all sides are equal. Therefore, all sides are 9 inches. Knowing this, we can substitute into the formula. We get

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Question

A city block is a perfect square with sides of .

What is the perimeter of the city block?

Answer

A city block is a perfect square with sides of .

What is the perimeter of the city block?

To find the perimeter of a square, simply multiply the side length by 4:

So our answer is 2 miles

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Question

Find the perimeter of a square with a length of 7in.

Answer

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, we know the length of the square is 7in. Because it is a square, we know all sides are equal. Therefore, all sides are 7in.

Knowing all of this, we can substitute into the formula. We get

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Question

Use the following image to answer the question:

Square3

Find the perimeter of the square.

Answer

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, let's look at the given square.

Square3

We can see that one side is 8cm. Because it is a square, all sides are equal. Therefore, all sides are 8cm.

Knowing this, we can substitute into the formula. We get

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Question

Find the perimeter of a square with a length of 9cm.

Answer

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, we know the length of the square is 9cm. Because it is a square, all of the sides are equal. Therefore, all sides are 9cm.

Knowing this, we can substitute into the formula. We get

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Question

Use the following square to answer the question:

Square2

Find the perimeter.

Answer

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

Square2

We can see the width is 14cm. Because it is a square, all sides are equal. Therefore, all sides are 14cm.

Knowing this, we can substitute into the formula. We get

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Question

Find the perimeter of a square that has a length of 15in.

Answer

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, we know the length of the square is 15in. Because it is a square, all sides are equal. Therefore, all sides are 15 in.

Knowing this, we can substitute into the formula. We get

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Question

Find the perimeter of a square with a length of 24in.

Answer

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, we know the length of the square is 24in. Because it is a square, all sides are equal. Therefore, all sides are 24in.

Knowing this, we can substitute into the formula. We get

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Question

Find the perimeter of a square with a width of 19in.

Answer

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, we know the width of the square is 19in. Because it is a square, all sides are equal. Therefore, all sides are 19in. Knowing this, we can substitute into the formula. We get

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Question

Find the perimeter of a square with a width of 8in.

Answer

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, we know the width of the square is 8in. Because it is a square, all sides are equal. Therefore, all sides are 8in.

Knowing this, we can substitute into the formula. We get

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Question

The perimeter of a square is 56in. Find the length of one side.

Answer

To find the perimeter of a square, we use this formula

where a is the length of one side. A square has 4 equal sides. That is why we multiply the length of one side by 4. To find the length of one side, we will solve for a.

Now, we know the perimeter of the square is 56in. So, we can substitute. We get

Therefore, the length of one side of the square is 14in.

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