SAT Prep MATH TEST 8 SECTION 3

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

Front

If the width of a rectangle is w feet and the length is 6 feet longer than the width, how can we express the length in terms of w?

Back

The length L can be expressed as L = w + 6.

Front

Given the width w of a rectangle, how do you calculate the perimeter?

Back

Using the formula P = 2(length + width), substitute length with (w + 6): P = 2(w + (w + 6)) = 2(2w + 6) = 4w + 12.

Front

What does the variable 'w' represent in the context of the dance floor problem?

Back

In this context, 'w' represents the width of the rectangular dance floor in feet.

Front

What is the significance of the number 6 in the dance floor problem?

Back

The number 6 represents the additional length of the dance floor compared to its width.

Front

How do you simplify the expression 2(w + (w + 6))?

Back

2(w + (w + 6)) simplifies to 2(2w + 6) = 4w + 12.

Front

What is the perimeter of a rectangle with a width of 5 feet?

Back

If w = 5, then the length L = 5 + 6 = 11 feet. The perimeter P = 2(5 + 11) = 32 feet.

Front

What is the perimeter of a rectangle with a width of 10 feet?

Back

If w = 10, then the length L = 10 + 6 = 16 feet. The perimeter P = 2(10 + 16) = 52 feet.

Front

What is the perimeter of a rectangle with a width of 0 feet?

Back

If w = 0, then the length L = 0 + 6 = 6 feet. The perimeter P = 2(0 + 6) = 12 feet.

Front

What is the relationship between the width and length of the dance floor?

Back

The length is always 6 feet longer than the width.