SAT QOTD - Adv. Alg. - (Tuesday)

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula A = length × width.

Front

If the length of a rectangle is 15 times its width, how can we express the length in terms of width?

Back

The length can be expressed as length = 15w, where w is the width.

Front

In the function y = (15w)(w), what does 'y' represent?

Back

In this function, 'y' represents the area of the rectangle in square feet.

Front

What does the variable 'w' represent in the context of the rectangle's area?

Back

'w' represents the width of the rectangle in feet.

Front

What is the significance of the condition y > 0 in the context of the rectangle's area?

Back

The condition y > 0 indicates that the area of the rectangle must be positive, meaning both length and width must be greater than zero.

Front

How do you interpret the expression 15w in the context of the rectangle?

Back

The expression 15w represents the length of the rectangle in feet.

Front

What are the dimensions of a rectangle if its width is 2 feet?

Back

If the width is 2 feet, the length would be 15 × 2 = 30 feet, making the dimensions 30 feet by 2 feet.

Front

What is the area of a rectangle with a width of 3 feet?

Back

If the width is 3 feet, the length is 15 × 3 = 45 feet, so the area is 3 × 45 = 135 square feet.

Front

How can you derive the area of a rectangle from its dimensions?

Back

The area can be derived by multiplying the length by the width.

Front

What happens to the area of the rectangle if the width is doubled?

Back

If the width is doubled, the area will also double, since area = length × width.