### All SSAT Middle Level Math Resources

## Example Questions

### Example Question #1203 : Concepts

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

**Possible Answers:**

**Correct answer:**

The area of a rectangle is the product of length and width:

### Example Question #21 : Geometry

Give the area of a rectangle with a length of and a width of .

**Possible Answers:**

**Correct answer:**

We know that:

where:

So we can write:

### Example Question #1205 : Concepts

A rectangular table has a length of and a width of . Give the area of the table.

**Possible Answers:**

**Correct answer:**

We know that:

where:

So we can write:

### Example Question #1206 : Concepts

The length of a rectangle is three times longer than its width. If the width of the rectangle is meters, give the area of the rectangle.

**Possible Answers:**

**Correct answer:**

The length of the rectangle would be:

We know that:

where:

So we can write:

### Example Question #1207 : Concepts

Which of the following is the area of a rectangle with a width of 4 feet and a length that is twice the width?

**Possible Answers:**

**Correct answer:**

The area of a rectangle is found by multiplying the width by the length.

We know that the width is 4 feet and the the length must be twice the width. Multiply the width by 2 to find the length.

Multiply the length and width to find the area.

### Example Question #1211 : Concepts

Jeff decided to build a play area for his guinea pigs. The play area would be an enclosure 6 feet long, 2 feet wide, and 2 feet tall. In cubic feet, how big is the play area?

**Possible Answers:**

**Correct answer:**

The cubic feet of an area is found by multiping the length times the width times the height. Given that the length is six feet, the width is two feet, and that the height is two feet, the total cubic area would be found using this equation:

Here is the equation with the appropriate numbers plugged in:

Therefore, 24 cubic feet is the correct answer.

### Example Question #6 : Geometry

Jessica's blanket is 12 square feet. Lisa has a blanket that is half the size of Jessica's blanket. Which of the following are possible dimensions of Lisa's blanket?

**Possible Answers:**

**Correct answer:**

The area of a rectangle if found by multiplying the length times the width. Here, we know that Lisa's blanket is half the area of Jessica's blanket. Since Jessica's blanket is 12 square feet, that means that Lisa's blanket must be 6 square feet.

The only length and width values that give us 6 square feet when multiplied by one another are 3 feet by 2 feet. This is therefore the correct answer.

### Example Question #11 : How To Find The Area Of A Rectangle

Note: Figure NOT drawn to scale.

What percent of the above figure is red?

**Possible Answers:**

The correct answer is not given among the other choices.

**Correct answer:**

The correct answer is not given among the other choices.

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 red region is

of the large rectangle.

This is not one of the choices.

### Example Question #341 : Ssat Middle Level Quantitative (Math)

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 #342 : Ssat Middle Level Quantitative (Math)

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.