How to find the perimeter of a square - Basic Geometry

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Question

The diagonal of a square has a length of 10 inches. What is the perimeter of the square in inches squared?

Answer

Using the Pythagorean Theorem, we can find the edge of a side to be √50, by 2a2=102. This can be reduced to 5√2. This can then be multiplied by 4 to find the perimeter.

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Question

A square garden has an area of 64 square feet. If you add 3 feet to each side, what is the new perimeter of the garden?

Answer

By finding the square root of the area of the garden, you find the length of one side, which is 8. We add 3 feet to this, giving us 11, then multiply this by 4 to get 44 feet for the perimeter.

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Question

The area of a square is $25 cm^{2}$ . If the square is enlarged by a factor of 2, what is the perimeter of the new square?

Answer

The area of a square is given by $A = s^{2}$ so we know the side is 5 cm. Enlarging by a factor of two makes the new side 10 cm. The perimeter is given by , so the perimeter of the new square is 40 cm.

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Question

The area of the shaded region of a square is 18. What is the perimeter of the square?

Answer

The area of the shaded region, which covers half of the square is 18 meaning that the total area of the square is 18 x 2, or 36. The area of a square is equal to the length of one side squared. Since the square root of 36 is 6, the length of 1 side is 6. The perimeter is the length of 1 side times 4 or 6 x 4.

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Question

The area of square is 196 square centimeters. What is the perimeter of ?

Answer

We know that $area=length\cdot width$ .

We also know that since is a square, all of its sides are of equal length.

To get the measure of any one side of , take the square root of the area:

$\sqrt{196}=14$ centimeters

Therefore each side of is 14 centimeters long.

To find the perimeter, multiply by 4:

$14\times4=56$ centimeters

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Question

A square tabletop has an area of . Find the perimeter of the tabletop.

Answer

First find the length of each side.

Take the square root of the area to find the side length:

$\sqrt{900in^2}=30in$

Since a square has equal sides, multiply the side length by to find the perimeter:

$4 *30in = 120\ in$

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Question

The length of one side of a square is 6 inches. What is the perimeter of the square?

Answer

To find the perimeter of a square, multiply one of its sides by 4.

$6\cdot 4=24$

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Question

What is the perimeter of a square with an area of ?

Answer

1. Find the side lengths:

$Area= (side)^{2}$

$36=(side)^{2}$

2. Use the side lengths to find the perimeter:

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Question

A square has an area of , what is the perimeter?

Answer

The area of a square is:

, where s is the side length of the square.

So using the numbers:

$\sqrt{625}=s$

Therefore, every side of the square is 25.

Now to find the perimeter, a square has 4 equal sides:

The perimeter of the square is 100

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Question

Find the perimeter of a square that has side lengths of .

Answer

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4(12)=48$

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Question

Find the perimeter of a square that has side lengths of .

Answer

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4(0.2)=0.8$

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Question

Find the perimeter of a square that has side lengths of .

Answer

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4(1.5)=6$

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Question

Find the perimeter of a square that has side lengths of .

Answer

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4(66)=264$

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Question

Find the perimeter of a square with the side lengths of $\frac{3}{4}$ .

Answer

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4\left(\frac{3}{4}\right)=3$

In this particular case the fours cancel out and our final answer is three.

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Question

Find the perimeter of a square that has side lengths of .

Answer

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4(2.5)=10$

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Question

Find the perimeter of a square that has side lengths .

Answer

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4(6.3)=25.2$

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Question

Find the perimeter of a square that has side lengths of .

Answer

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4(12.6)=50.4$

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Question

Find the perimeter of a square with side lengths of $\frac{5}{6}$ .

Answer

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4\left(\frac{5}{6}\right)=\frac{20}{6}=\frac{2\cdot 10}{2\cdot 3}=\frac{10}{3}$

Since there is a two in the numerator and a two in the denominator they cancel out which results in the simplified fraction.

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Question

Find the perimeter of a square that has side lengths of .

Answer

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4(8.9)=35.6$

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Question

Find the perimeter of a square that has side lengths of .

Answer

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4(102)=408$

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