### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #27 : How To Find The Area Of A Rectangle

Note: Figure NOT drawn to scale.

Refer to the above diagram. Give the ratio of the area of the red region to that of the white region.

**Possible Answers:**

The correct answer is not given among the other choices.

**Correct answer:**

The large rectangle has length 80 and width 40, and, consequently, area

.

The white region is a rectangle with length 30 and width 20, and, consequently, area

.

The red region, therefore, has area .

The ratio of the area of the red region to that of the white region is

That is, 13 to 3.

### Example Question #21 : How To Find The Area Of A Rectangle

The above figure depicts the rectangular swimming pool at an apartment. The apartment manager needs to purchase a tarp that will cover this pool completely, but the store will only sell the material in multiples of one hundred square meters. How many square meters will the manager need to buy?

**Possible Answers:**

Insufficient information is given to answer the question.

**Correct answer:**

The tarp needed to cover this pool must be, at minimum, the product of its length and width, or

square meters.

The manager will need to buy a number of square yards of tarp equal to the next highest multiple of one hundred, which is 400 square meters.

### Example Question #21 : How To Find The Area Of A Rectangle

The four angles of a square are labeled A, B, C, and D. What is the sum of ?

**Possible Answers:**

More information is needed to solve

**Correct answer:**

In a square, each angle is 90 degrees.

We can plug in 90 for each variable and find the sum.

### Example Question #81 : Quadrilaterals

The above depicts a rectangular swimming pool for an apartment. The pool is six feet deep everywhere.

An apartment manager wants to paint the four sides and the bottom of the swimming pool. How many square feet will he need to paint?

**Possible Answers:**

The correct answer is not given among the other responses.

**Correct answer:**

The bottom of the swimming pool has area

square feet.

There are two sides whose area is

square feet,

and two sides whose area is

square feet.

Add the areas:

square feet.

### Example Question #111 : Plane Geometry

If the angles of a quadrilateral are equal to , , , and , what is the value of ?

**Possible Answers:**

**Correct answer:**

Given that there are 360 degrees in a quadrilateral,

### Example Question #24 : Rectangles

What is the value of if the angles of a quadrilateral are equal to degrees, degrees, degrees, and ?

**Possible Answers:**

**Correct answer:**

Given that there are 360 degrees in a quadrilateral,

### Example Question #35 : How To Find The Area Of A Rectangle

If the length of a rectangle is 7.5 feet and the width is 2 feet, what is the value of if the area is ?

**Possible Answers:**

**Correct answer:**

The area of a rectangle is calculated by multiplying the length by the width. Here, the length is 7.5 and the width is 2, so the area will be 15.

Given that the area is also equal to , the value of will be 3, given that 3 times 5 is 15.

### Example Question #21 : How To Find The Area Of A Rectangle

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

**Possible Answers:**

**Correct answer:**

Multiply each dimension by to convert meters to centimeters:

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

### Example Question #21 : Rectangles

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

**Possible Answers:**

**Correct answer:**

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 #21 : 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

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.

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