Question

A rectangle has a height of 777 and a width of 2x²−32x. Express the area of the entire rectangle. (Expand the expression)

A) 777(2x²−32x)
B) 777x² −12444x
C) 1554x² −24888x
D) 1554x²−24888

Answer 1

The area of the rectangle can be expressed as 1554x² - 24888x.

Step-by-step explanation:

The area of a rectangle is found by multiplying its height by its width.

In this case, the height is 777 and the width is 2x²−32x. To find the area, we multiply the height by the width:

A = 777 * (2x²−32x)

To expand the expression, we distribute 777 to both terms inside the parentheses:

A = 777 * 2x² - 777 * 32x

This simplifies to:

A = 1554x² - 24888x

Therefore, the correct answer is option C) 1554x² - 24888x.