### All SAT Math Resources

## Example Questions

### Example Question #1 : Rectangles

A rectangle has a width of 2*x*. If the length is five more than 150% of the width, what is the perimeter of the rectangle?

**Possible Answers:**

6*x*^{2} + 5

5*x* + 10

6*x*^{2} + 10*x*

10(*x* + 1)

5*x* + 5

**Correct answer:**

10(*x* + 1)

Given that *w* = 2*x* and *l* = 1.5*w* + 5, a substitution will show that *l* = 1.5(2*x*) + 5 = 3*x* + 5.

*P* = 2*w* + 2*l* = 2(2*x*) + 2(3*x* + 5) = 4*x* + 6*x* + 10 = 10*x* + 10 = 10(*x* + 1)

### Example Question #31 : Quadrilaterals

Find the perimeter of a rectangle with width 7 and length 9.

**Possible Answers:**

**Correct answer:**

To solve, simply use the formula for the perimeter of a rectangle.

Substitute in the width of seven and the length of nine.

Thus,

### Example Question #32 : Quadrilaterals

Find the perimeter of a rectangle whose side lengths are 1 and 2.

**Possible Answers:**

**Correct answer:**

To solve, simply use the formula for the perimeter of a rectangle. Thus,

### Example Question #30 : Rectangles

Find the perimeter of a rectangle with width 6 and length 9.

**Possible Answers:**

**Correct answer:**

To solve, simply use the formula for the perimeter.

Another way to solve this problem is to add up all of the sides. Remember that even though only two values are given, a rectangle has 4 sides. Thus,

### Example Question #31 : Quadrilaterals

You have a poster of one of your favorite bands that you are planning on putting up in your dorm room. If the poster is 3 feet tall by 1.5 feet wide, what is the perimeter of the poster?

**Possible Answers:**

**Correct answer:**

You have a poster of one of your favorite bands that you are planning on putting up in your dorm room. If the poster is 3 feet tall by 1.5 feet wide, what is the perimeter of the poster?

Perimeter of a rectangle is found via:

### Example Question #211 : Geometry

Three of the vertices of a rectangle on the coordinate plane are located at the origin, , and . Give the perimeter of the rectangle.

**Possible Answers:**

**Correct answer:**

The rectangle in question is below:

The lengths of the rectangle is 10, the distance from the origin to ; its width is 7, the distance from the origin to . The perimeter of a rectangle is equal to twice the sum of its length and width, so calculate:

.

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

A rectangular garden has an area of . Its length is meters longer than its width. How much fencing is needed to enclose the garden?

**Possible Answers:**

**Correct answer:**

We define the variables as and .

We substitute these values into the equation for the area of a rectangle and get .

or

Lengths cannot be negative, so the only correct answer is . If , then .

Therefore, .

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