ISEE Middle Level Math : How to find the perimeter of the rectangle

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

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Example Questions

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

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 : How To Find The Perimeter Of A Rectangle

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 #3 : 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:

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

The perimeter of a rectangle with a length of  and a width of is . Find .

 

Possible Answers:

Correct answer:

Explanation:

We know that:

 

 

where:

 

 

So we can write:

 

Example Question #5 : How To Find The Perimeter Of The Rectangle

Rectangles

Note: Figure NOT drawn to scale.

Refer to the above diagram. Give the perimeter of the red polygon.

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:

Rectangles

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

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

The width of a rectangle is , the length is , and the perimeter is 72. What is the value of ?

Possible Answers:

Correct answer:

Explanation:

Start with the equation for the perimeter of a rectangle:

We know the perimeter is 72, the length is , and the width is . Plug these values into our equation.

Multiply and combine like terms.

Divide by 18 to isolate the variable.

Simplify the fraction by removing the common factor.

Example Question #2042 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Rectangles

Note: Figure NOT drawn to scale.

Refer to the above diagram. Give the ratio of the perimeter of the large rectangle to that of the smaller rectangle.

Possible Answers:

The correct answer is not given among the other choices.

Correct answer:

Explanation:

Opposite sides of a rectangle are congruent.

The large rectangle has perimeter

.

The smaller rectangle has perimeter

.

The ratio is

; that is, 12 to 5.

Example Question #8 : How To Find The Perimeter Of The Rectangle

What is the perimeter of a rectangle with a width of 3 and a length of 10?

Possible Answers:

12

60

30

13

26

Correct answer:

26

Explanation:

The formula for the perimeter of a rectangle is \dpi{100} Perimeter=2l+2w.

Plug in our given values to solve:

\dpi{100} Perimeter = 2(20)+2(3)

\dpi{100} Perimeter = 20+6

\dpi{100} Perimeter = 26

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

If the perimeter of a rectangle is  inches and the width is  inches, what is the length?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a rectangle is represented by the following formula, in which W represents width and L represents length:

Given that the width is  inches and that the perimeter is  inches, the following applies:

Next, subtract  from each side.

Now, divide each side by .

This gives us

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