# ISEE Lower Level Math : Geometry

## Example Questions

### Example Question #101 : Geometry

What is the perimeter of a rectangle with a width of  and a length of ?

Explanation:

The perimeter of a rectangle is equal to the sum of all its sides. The formula for finding the perimeter of a rectangle is

The length of the rectangle is eight, and the width is five; .

Therefore, the perimeter of the rectangle is .

### Example Question #7 : How To Find The Perimeter Of A Rectangle

Mr. Barker is building a rectangular fence. His yard has an area of  feet, and the one side of the fence he's already built is  feet long.

What will the perimeter of his fence be when he is finished building it?

Explanation:

The perimeter is calculated by adding up all the sides of the rectangle—in this case,

So the perimeter is  feet.

### Example Question #1 : How To Find The Perimeter Of A Rectangle

A rectangle has sides 10 cm and 4 cm. What is its perimeter?

Explanation:

A rectangle has two sides of congruent, or equal, sides. Therefore, there are two 10 cm sides and two 4 cm sides. Perimeters is the sum of all the sides, so you must add up the four sides. The answer is 28 cm.

### Example Question #1 : How To Find The Perimeter Of A Rectangle

If a rectangle has a width of 6.5 inches and a length of 9 inches, what is its perimeter?

Explanation:

The perimeter of a rectangle is found by adding together all four sides. Two sides will be equal to the length, and two sides will be equal to the width.

Since the width is 6.5 inches and the length is 9 inches, the perimeter would be:

### Example Question #1 : How To Find The Perimeter Of A Rectangle

If Margaret is buying a tablecloth for a table that is 4 feet by 2 feet, what should be the area of the tablecloth?

Explanation:

We will need to find the area of the rectangle by multiplying the length by the width:

Use the given dimensions:

### Example Question #81 : Plane Geometry

If the perimeter of a rectangle is equal to 54 inches, what are possible values for the width and length?

Width of 10 inches and length of 16 inches

Width of 10 inches and length of 17 inches

None of these

Width of 11 inches and length of 17 inches

Width of 10 inches and length of 18 inches

Width of 10 inches and length of 17 inches

Explanation:

The perimeter of a rectangle is equal to:

The only answer choice that provides dimensions for which the perimeter of a rectangle would be 54 inches is when there is a width of 10 inches a length of 17 inches.

Therefore, a width of 10 inches and length of 17 inches is the correct answer.

### Example Question #81 : Plane Geometry

If the width of a rectangle is 2 inches and the length is 6 inches, what is the perimeter in inches?

Explanation:

The perimeter of a rectangle can be found by adding together all the sides. The formula is:

Use the given values for the length and the width to solve.

16 inches is the correct answer.

### Example Question #13 : How To Find The Perimeter Of A Rectangle

A rectangle has a width of 5 inches and an area of 35 inches. What is the length, in inches?

Explanation:

The area of a rectangle is equal to the length times the width.

Here, we know that the area is 35, and the width is 5. We can fill in part of the equation with these values.

The only number that equals 35 when multiplied by 5 is 7.

7 is the correct answer.

### Example Question #71 : Rectangles

If the width of a rectangle is 3 inches and the length is 5 inches, what is the perimeter?

Explanation:

The perimeter of a rectangle can be found by adding together all the sides. This would give us:

Therefore, 16 inches is the correct answer.

### Example Question #15 : How To Find The Perimeter Of A Rectangle

Marcell wants to put a new fence around the perimeter of his garden. Marcell's rectangular garden is 30 feet long and 15 feet wide. How many feet of fence does Marcell need?