SSAT Middle Level Math : How to find the perimeter of a rectangle

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

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

The width of a rectangle is half of its length.  If the width is given as what is the perimeter of the rectangle in terms of ?

Possible Answers:

Correct answer:

Explanation:

The sum of the widths is and since the width is half the length, each length is Since there are 2 lengths we get a total perimeter of .

Example Question #2 : How To Find The Perimeter Of A Rectangle

L_lawn

The above figure shows the size and shape of a yard that is to be surrounded by some fence. How many feet of fence will be needed?

Note: all sides meet at right angles.

Possible Answers:

Correct answer:

Explanation:

The best way to see that 750 feet of fence are needed is to look at this augmented diagram.

Note that two of the sides are extended to form a smaller rectangle whose sides can be deduced by subtraction. Since opposite sides of a rectangle are congruent, this allows us to fill in the two missing sidelengths of the original figure.

L_lawn_2

Now add: 

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

Rectangle

 

Give the perimeter of the rectangle in the above diagram.

Possible Answers:

Correct answer:

Explanation:

The perimeter of a rectangle is the sum of the length and the width, multiplied by 2:

The rectangle has a perimeter of 38 centimeters.

Example Question #4 : How To Find The Perimeter Of A Rectangle

Rectangle

Give the perimeter of the rectangle in the above diagram.

Possible Answers:

Correct answer:

Explanation:

The perimeter of a rectangle can be calculated by multiplying two by the sum of the length and width of the rectangle.

The perimeter of the rectangle is  inches.

Example Question #2 : Rectangles

Rectangle_1

Figure NOT drawn to scale.

Give the perimeter of the green polygon in the above figure.

Possible Answers:

The perimeter cannot be determined from the information given.

 

Correct answer:

Explanation:

Since opposite sides of a rectangle have the same measure, the missing sidelengths can be calculated as in the diagram below:

Rectangle_2

The sidelengths of the green polygon can now be added to find the perimeter:

Example Question #6 : How To Find The Perimeter Of A Rectangle

The width of a rectangle is one-third of its length. If the width is given as  what is the perimeter of the rectangle in terms of ?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a rectangle is the sum of its sides.

The sum of the widths is  and since the width is one-third of the length, each length is . Since there are  lengths we get a total of . Widths + lengths = 

Example Question #3 : Rectangles

You are given equilateral triangle  and Rectangle 

with .

What is the perimeter of Rectangle  ?

Possible Answers:

Correct answer:

Explanation:

 is equilateral, so .

Also, since opposite sides of a rectangle are congruent, 

 and 

The perimeter of Rectangle  is 

Example Question #2 : Rectangles

A hectare is a unit of area equal to 10,000 square meters.

A 150-hectare plot of land is rectangular and is 1.2 kilometers in width. Give the perimeter of this land.

Possible Answers:

Correct answer:

Explanation:

150 hectares is equal to  square meters.

The width of this land is 1.2 kilometers, or  meters. Divide the area by the width to get:

 meters

The perimeter of the land is 

 meters, or  kilometers.

Example Question #9 : How To Find The Perimeter Of A Rectangle

The length of a rectangle is two times as long as the width. The width is equal to  inches. What is the perimeter of the rectangle?

Possible Answers:

 

 

 

 

 

Correct answer:

 

 

 

 

 

Explanation:

Example Question #2 : How To Find The Perimeter Of A Rectangle

How many meters of fence are needed to enclose a rectangular field that has a length of 1000 meters and a width of 100 meters?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a rectangle is simply the sum of the four sides:

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