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Basic Geometry : How to find the perimeter of a rectangle

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Example Questions

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,

P=e(l+w)=2*(7+2)=2*9=18

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.

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Example Question #52 : How To Find The Perimeter Of A Rectangle

A rectangle has an area of 27 cm^2 . The rectangle's sides have values of cm and cm. What is the perimeter of the rectangle?

Possible Answers:

12 cm

3 cm

24 cm

9 cm

30cm

Correct answer:

24 cm

Explanation:

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

A=lw

27=x(3x)

27=3x^2

$\frac{27}{3}=\frac{3x^2}{3}$

9=x^2

$\sqrt{9}=\sqrt{x^2}$

x=3

Since we know that x=3 , we can use this to solve for the sides of the rectangle:

l=x

l=3

and

w=3x

w=3(3)

w=9

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

P=2(l+w)

P=2(3+9)

P=2(12)

P=24cm

Therefore, the perimeter of the rectangle is 24 cm .

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Example Question #52 : How To Find The Perimeter Of A Rectangle

A rectangle has an area of 36cm^2 . What is the perimeter of the rectangle?

Possible Answers:

24cm

6cm

12cm

Not enough information is given.

48cm

Correct answer:

Not enough information is given.

Explanation:

Not enough information is given to solve this problem. While 24 cm^2 is a possible answer (assuming all of the sides of the rectangle are 6cm ), 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 36 cm^2 .

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

Horton's Tile and Fixtures cuts Spanish tile in a rectangular shape that is $15\;cm$ wide and has an area of $315\;cm^2$ . What would be the perimeter of a cut Spanish tile?

Possible Answers:

$72\;cm$

$74\;cm$

$68\;cm$

$62\;cm$

$80\;cm$

Correct answer:

$72\;cm$

Explanation:

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

$\\area=length\cdot width\\315\;cm^2=length\cdot15\;cm\\length=\frac{315\;cm^2}{15\;cm=21\;cm}$

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

$perimeter=2l+2w=2(21\;cm)+2(15\;cm)=42\;cm+30\;cm=72\;cm$

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Example Question #55 : How To Find The Perimeter Of A Rectangle

If the length of a rectangle is 2 inches longer than the width, and the width is $\sqrt{4}$ , what is the perimeter of the rectangle?

Possible Answers:

$12 in^{2}$

8 in

20 in

$8 in^{2}$

12 in

Correct answer:

12 in

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.

$\sqrt{4}=\sqrt{2\times 2}=2$

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

2+2=4

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.

$\\P= 2 + 2 + 4 + 4 \\P=12$

Since we are adding, and the measurements are in inches, our answer is 12 in .

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Basic Geometry : How to find the perimeter of a rectangle

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

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

Example Question #52 : How To Find The Perimeter Of A Rectangle

Example Question #52 : How To Find The Perimeter Of A Rectangle

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

Example Question #55 : How To Find The Perimeter Of A Rectangle

All Basic Geometry Resources

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