ISEE Middle Level Math : Geometry

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

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Example Questions

Example Question #3 : How To Find The Perimeter Of The 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 #31 : Quadrilaterals

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 #2044 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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 #301 : Ssat Middle Level Quantitative (Math)

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 #121 : Geometry

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 #4 : 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:

13

12

26

30

60

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 #123 : Geometry

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

Example Question #83 : Plane Geometry

Rectangle

Give the perimeter of the above rectangle in centimeters, using the conversion factor  centimeters per yard.

Possible Answers:

Correct answer:

Explanation:

The perimeter of the rectangle is  yards. To convert this to centimeters, multiply by the given conversion factor:

 centimeters.

Example Question #221 : Geometry

Find the perimeter of a rectangle whose length is 6 and width is 5.

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the perimeter of a rectangle.

In this particular case the length and width are,

Thus,

Example Question #12 : How To Find The Perimeter Of The Rectangle

rectangle has a length of 9 centimeters and a width of 5 centimeters. Find the perimeter.

Possible Answers:

Correct answer:

Explanation:

The formula for the perimeter of a rectangle is:

 

where 

 

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