### All ISEE Lower Level Quantitative Resources

## Example Questions

### Example Question #1 : Rectangles

What could be the dimensions of a rectangle with an area of ?

**Possible Answers:**

**Correct answer:**

Since area is length times width, the answer must equal 36 when multiplied. The only combination is 9cm by 4cm.

### Example Question #471 : Geometry

The above diagram shows a rectangular home within a rectangular yard. What is the area of the *yard*?

**Possible Answers:**

**Correct answer:**

The area of the yard is the area of the smaller rectangle subtracted from that of the larger rectangle. The area of a rectangle is the product of its length and its height, so the larger rectangle has area

square feet,

and the smaller rectangle has area

square feet.

Subtract to get the area of the yard:

square feet.

### Example Question #3 : Rectangles

Give the area of the rectangular swimming pool shown above.

**Possible Answers:**

**Correct answer:**

The length and the width of the pool are 50 feet and 35 feet; the area of this rectangle is their product, or

square feet.

### Example Question #4 : Rectangles

Find the area of the following rectangle.

**Possible Answers:**

**Correct answer:**

The equation for the area of a rectangle is

In this case, we have:

### Example Question #5 : Rectangles

Find the area of the following rectangle.

**Possible Answers:**

**Correct answer:**

To find the area of the rectangle we use the equation

In this case, we have:

### Example Question #6 : Rectangles

Find the area of the following rectangle.

**Possible Answers:**

**Correct answer:**

In order to find the area of the rectangle we use the equation

In this case, we have:

### Example Question #7 : Rectangles

A rectangle with its length and its width is shown below.

If the area of a rectangle is , what is the area of the rectangle above?

**Possible Answers:**

**Correct answer:**

Since the question tells you the formula to find the area of a rectangle, plug in the given values found in the figure to get the correct answer.

For the figure given, and .

### Example Question #8 : Rectangles

A rectangle with its length and its width is shown below.

If the area of a rectangle is , what is the area of the rectangle above?

**Possible Answers:**

**Correct answer:**

Since the question tells you the formula to find the area of a rectangle, plug in the given values found in the figure to get the correct answer.

For the figure given, and .

### Example Question #9 : Rectangles

A rectangle with its length and width is shown below.

If the area of a rectangle is , what is the area of the rectangle above?

**Possible Answers:**

**Correct answer:**

Since the question tells you the formula to find the area of a rectangle, plug in the given values found in the figure to get the correct answer.

For the figure given, and .

### Example Question #10 : Rectangles

A rectangle with its length and its width is shown below.

If the area of a rectangle is , what is the area of the rectangle above?

**Possible Answers:**

**Correct answer:**

For the figure given, and .