### All SSAT Middle Level Math Resources

## Example Questions

### Example Question #41 : How To Find The Area Of A Rectangle

Figure NOT drawn to scale.

Figure 1 and Figure 2 have the same area. The shaded portion of Figure 1 has area 64. What is the area of the shaded portion of Figure 2?

**Possible Answers:**

**Correct answer:**

Figure 1 is a rectangle divided into 24 squares of equal size; 3 of the squares are shaded, which means that of Figure 1 is shaded.

Figure 2 is a circle divided into 8 sectors of equal size; 1 is shaded, which means that of Figure 2 is shaded.

Since the two figures are of the same area, the two shaded portions, each of which have an area that is the same fraction of this common area, must themselves have the same area. Since the shaded portion of Figure 1 has area 64, so does the shaded portion of Figure 2.

### Example Question #91 : Quadrilaterals

Note: Figure NOT drawn to scale

In the above diagram,

Give the area of the parallelogram.

**Possible Answers:**

**Correct answer:**

The area of a parallelogram is its base multiplied by its height - represented by and here:

Note that the value of is irrelevant.

### Example Question #2 : How To Find The Area Of A Parallelogram

A given parallelogram has a base in length, a height in length, and a side of length opposite the height. What is the area of the parallelogram?

**Possible Answers:**

**Correct answer:**

The formula for the area of a parallelogram is , with base and height represented by and , respectively. Substituting values from the question:

### Example Question #1 : Parallelograms

A parallelogram has a height of in length, a side of length opposite the height, and a base of . What is the area of the parallelogram?

**Possible Answers:**

**Correct answer:**

Given base and height , .

Substituting the values from our question:

### Example Question #3 : How To Find The Area Of A Parallelogram

A parallelogram has a base of length , a height of length , and a side of length . What is the area of the parallelogram?

**Possible Answers:**

**Correct answer:**

Given base and height , .

Substituting the values from our question:

### Example Question #4 : How To Find The Area Of A Parallelogram

Find the area of a parallelogram with a height of , a base of , and a side length of .

**Possible Answers:**

**Correct answer:**

The area of a parallelogram with height and base can be found with the equation . Consequently:

### Example Question #2 : How To Find The Area Of A Parallelogram

Find the area of a parallelogram with a height of , base of , and a side length of .

**Possible Answers:**

**Correct answer:**

The area of a parallelogram with height and base can be found with the equation . Consequently:

### Example Question #1 : How To Find The Area Of A Parallelogram

Find the area of the following parallelogram:

Note: The formula for the area of a parallelogram is .

**Possible Answers:**

**Correct answer:**

The base of the parallelogram is 10, while the height is 5.

### Example Question #1 : Parallelograms

Find the area:

**Possible Answers:**

**Correct answer:**

The area of a parallelogram can be determined using the following equation:

Therefore,

### Example Question #3 : How To Find The Area Of A Parallelogram

Find the area of the given parallelogram if .

**Possible Answers:**

**Correct answer:**

In order to find the area of a parallelogram, we need to find the product of the base length and height.

Notice that only two of the given values were needed to slove this problem.