ISEE Middle Level Math : Quadrilaterals

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

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Example Questions

Example Question #51 : Rectangles

Which of the following is equal to the area of a rectangle with length  meters and width  meters?

Possible Answers:

Correct answer:

Explanation:

Multiply each dimension by  to convert meters to centimeters:

Multiply these dimensions to get the area of the rectangle in square centimeters:

Example Question #22 : Rectangles

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

Possible Answers:

Correct answer:

Explanation:

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

In this particular case the length and width are given,

.

Thus:

Example Question #30 : How To Find The Area Of A Rectangle

The area of a four-sided room that has dimensions of  will be the four wall lengths all added to together.  True or False?

Possible Answers:

False

True

Correct answer:

False

Explanation:

The area of a rectangle is the length times the width.  So to calculate it, you must multiple the two different lengths together.  Adding the four wall lengths would get you the perimeter instead.

Example Question #31 : How To Find The Area Of A Rectangle

Use the following to answer the question.

Rectangle4

Find the area of the rectangle if it's width is half of it's length.

Possible Answers:

Correct answer:

Explanation:

To find the area of a rectangle, we use the following formula:

where l is the length and w is the width of the rectangle.

 

Now, given the rectangle,

Rectangle4

we can see the length is 12 feet.  We also know the width is half of the length.  Therefore, the width is 6 feet.  Knowing this, we can substitute into the formula.  We get

Example Question #31 : Rectangles

The Smartboard in your math classroom is 3 feet tall and 20 feet long. What is the area of the surface of the Smartboard?

 

Possible Answers:

Correct answer:

Explanation:

The Smartboard in your math classroom is 3 feet tall and 20 feet long. What is the area of the surface of the Smartboard?

 

This problem gives us a rectangle and asks us to find the area.

The area of a triangle can be found by the following formula.

Where l and w are length and width, respectively.

Plug in our length and width and solve.

So, we get 60 ft squared for our answer.

Example Question #192 : Plane Geometry

L shape

 

In the above figure, all angles are right angles.

Give the area of the figure.

Possible Answers:

Correct answer:

Explanation:

Construct an additional segment as shown below.

L shape

Note that the figure can be divided into two rectangles. Also note that, since opposite sides of a rectangle are of the same length, we can fill in some sidelengths, as noted above.

The two rectangles each have areas that are the product of their lengths and widths:

and 

Add these areas: , the area of the shape.

Example Question #32 : How To Find The Area Of A Rectangle

You are designing a book cover for a local artist. If the cover will be made from one piece of material that is 14 inches by 8 inches, how much area will the book cover take up?

 

Possible Answers:

Correct answer:

Explanation:

You are designing a book cover for a local artist. If the cover will be made from one piece of material that is 14 inches by 8 inches, how much area will the book cover take up?

We are asked to find the area of a rectangle here. 

To find the area of a rectangle simply use the following:

So, plug in our length and width

 

So our answer is 112 inches squared.

Example Question #32 : Rectangles

A rectangular postage stamp has a width of 3 cm and a height of 12 cm. Find the area of the stamp.

Possible Answers:

Correct answer:

Explanation:

A rectangular postage stamp has a width of 3 cm and a height of 12 cm. Find the area of the stamp.

To find the area of  a rectangle, we must perform the following:

Where l and w are our length and width.

This means we need to multiply the given measurements. Be sure to use the right units!

And we have our answer. It must be centimeters squared, because we are dealing with area.

Example Question #33 : How To Find The Area Of A Rectangle

Find the area of a rectangle that has a length of 8 cm and a width that is half the length.

Possible Answers:

Correct answer:

Explanation:

To find the area of a rectangle, we will use the following formula:

where l is the length and w is the width of the rectangle.

 

Now, we know the length of the rectangle is 8cm.  We also know the width is half the length.  Therefore, the width is 4cm.  Knowing this, we can substitute into the formula.  We get

Example Question #196 : Geometry

 

 

Find the area of a rectangle with a width of 7cm and a length that is 2 times the width.

Possible Answers:

Correct answer:

Explanation:

To find the area of a rectangle, we will use the following formula:

where l is the length and w is the width of the rectangle.

 

Now, we know the rectangle has a width of 7cm.  We also know the length is 2 times the width.  Therefore, the length is 14cm.  Knowing this, we can substitute into the formula.  We get

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