ISEE Lower Level Math : How to find the perimeter of a rectangle

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #1 : How To Find The Perimeter Of A Rectangle

Dennis is building a fence around his field to keep his cattle from getting off the property. If Dennis’ field is \displaystyle \small 3 miles long and \displaystyle \small 2 miles wide, how much fence will Dennis need to surround all of his property?

Possible Answers:

\displaystyle 10\ mi

\displaystyle 6\ mi

\displaystyle 5\ mi

\displaystyle 12\ mi

\displaystyle 7\ mi

Correct answer:

\displaystyle 10\ mi

Explanation:

In order to determine how much fence Dennis will need, we must find the perimeter of his property, which can be found using the formula \displaystyle \small \small 2W+ 2L. When we plug \displaystyle \small 2\ mi in the \displaystyle \small W and \displaystyle \small 3\ mi in for \displaystyle \small L, we find that Dennis needs \displaystyle \small 10\ mi of fence to surround his property.

\displaystyle \small 2(2\ mi) + 2(3\ mi) = 10\ mi

 

 

 

 

 

 

Example Question #1 : How To Find The Perimeter Of A Rectangle

Rectangle

Give the perimeter of the rectangle in the above diagram.

Possible Answers:

\displaystyle 58\textrm{ in}

\displaystyle 116\textrm{ in}

\displaystyle 198\textrm{ in}

\displaystyle 99\textrm{ in}

\displaystyle 29\textrm{ in}

Correct answer:

\displaystyle 58\textrm{ in}

Explanation:

Add the length and the height, then multiply the sum by two:

\displaystyle (11 + 18) \times 2 = 29 \times 2 = 58

The rectangle has a perimeter of 58 inches.

Example Question #72 : Plane Geometry

Rectangle

Give the perimeter of the above rectangle in feet.

Possible Answers:

\displaystyle 7 \frac{1}{2} \textrm{ ft}

\displaystyle 7 5\textrm{ ft}

\displaystyle 37 \frac{1}{2} \textrm{ ft}

\displaystyle 8\textrm{ ft}

\displaystyle 3 \frac{3}{4} \textrm{ ft}

Correct answer:

\displaystyle 7 \frac{1}{2} \textrm{ ft}

Explanation:

Use the following formula, substituting \displaystyle L = 30, W = 15 :

\displaystyle A = 2 (L + W)

\displaystyle A = 2 (30 + 15) = 2 \times 45 = 90 \textrm{ in}

Now, divide this by 12 to convert inches to feet.

\displaystyle \frac{90}{12} = 7 \textrm{ R }6

6 inches make half of a foot, so this means the perimeter is \displaystyle 7 \frac{1}{2} feet.

Example Question #91 : Geometry

What is the perimeter of a rectangle that has a length of \displaystyle \small 7 inches and a width of \displaystyle \small 4 inches? \displaystyle \small \left ( P=2l+2w\right )

Possible Answers:

\displaystyle \small 11

\displaystyle \small 22

\displaystyle \small 26

\displaystyle \small 28

Correct answer:

\displaystyle \small 22

Explanation:

The perimeter of a shape is the sum of all its sides. To find the perimeter of a rectangle, one can use the formula listed above, \displaystyle \small \left ( P= 2l+2w\right ), since a rectangle has opposite sides of equal length.

The length of the rectangle is \displaystyle \small 7:

\displaystyle \small 2\times7=14

The width of the rectangle is \displaystyle \small 4:

\displaystyle \small 4\times2=8.

\displaystyle \small 14+8=22

Therefore, the perimeter is \displaystyle \small 22.  

Example Question #92 : Geometry

What is the perimeter of a rectangle with length equal to 5 and width equal to 3?

Possible Answers:

16

8

15

30

Correct answer:

16

Explanation:

\displaystyle P=2(l+w)=2(5+3)=2(8)=16

Example Question #1 : How To Find The Perimeter Of A Rectangle

What is the perimeter of a rectangle with a width of \displaystyle 5 and a length of \displaystyle 8?

Possible Answers:

\displaystyle 30

\displaystyle 26

\displaystyle 13

\displaystyle 40

Correct answer:

\displaystyle 26

Explanation:

The perimeter of a rectangle is equal to the sum of all its sides. The formula for finding the perimeter of a rectangle is \displaystyle P= 2(l+w)

The length of the rectangle is eight, and the width is five; \displaystyle 8+5=13.

\displaystyle 13\times2=26

Therefore, the perimeter of the rectangle is \displaystyle 26.

Example Question #1031 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Mr. Barker is building a rectangular fence. His yard has an area of \displaystyle 24 feet, and the one side of the fence he's already built is \displaystyle 6 feet long. 

What will the perimeter of his fence be when he is finished building it?

Possible Answers:

\displaystyle 20\ feet

\displaystyle 36\ feet

\displaystyle 24\ feet

\displaystyle 18\ feet

\displaystyle 14\ feet

Correct answer:

\displaystyle 20\ feet

Explanation:

The perimeter is calculated by adding up all the sides of the rectangle—in this case,

\displaystyle 6+6+4+4=20

So the perimeter is \displaystyle 20 feet.

Example Question #1 : How To Find The Perimeter Of A Rectangle

A rectangle has sides 10 cm and 4 cm. What is its perimeter?

Possible Answers:

\displaystyle 20\ cm

\displaystyle 14\ cm

\displaystyle 16\ cm

\displaystyle 40\ cm

\displaystyle 28\ cm

Correct answer:

\displaystyle 28\ cm

Explanation:

A rectangle has two sides of congruent, or equal, sides. Therefore, there are two 10 cm sides and two 4 cm sides. Perimeters is the sum of all the sides, so you must add up the four sides. The answer is 28 cm.

Example Question #71 : Rectangles

If a rectangle has a width of 6.5 inches and a length of 9 inches, what is its perimeter?

Possible Answers:

\displaystyle 30

\displaystyle 33

\displaystyle 26

\displaystyle 29

\displaystyle 31

Correct answer:

\displaystyle 31

Explanation:

The perimeter of a rectangle is found by adding together all four sides. Two sides will be equal to the length, and two sides will be equal to the width.

\displaystyle P=width+width+length+length

\displaystyle P=2l+2w

Since the width is 6.5 inches and the length is 9 inches, the perimeter would be:

\displaystyle P=6.5+6.5+9+9

\displaystyle P=2(6.5)+2(9)

\displaystyle P=13+18

\displaystyle P=31

Example Question #72 : Rectangles

If Margaret is buying a tablecloth for a table that is 4 feet by 2 feet, what should be the area of the tablecloth?

Possible Answers:

\displaystyle 6\ \text{ft}^2

\displaystyle 12\ \text{ft}^2

\displaystyle 8\ \text{ft}^2

\displaystyle 22\ \text{ft}^2

\displaystyle 16\ \text{ft}^2

Correct answer:

\displaystyle 8\ \text{ft}^2

Explanation:

We will need to find the area of the rectangle by multiplying the length by the width:

\displaystyle A=l\times w

Use the given dimensions:

\displaystyle A=4\times2=8\ \text{ft}^2

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