Question

A rectangle has a height of b³ b² and a width of b² 7b 4. What is the area of the rectangle?

1) b⁵ + 7b⁴ + 4b²
2) b⁵ + 7b³ + 4b²
3) b⁶ + 7b⁴ + 4b²
4) b⁶ + 7b³ + 4b²

Answer 1

To find the area of the rectangle, multiply the height (b³ b²) by the width (b² 7b 4). Simplify the expression to get the final answer: b^5 + 7b^4 + 4b².

Step-by-step explanation:

The area of a rectangle is found by multiplying its height by its width. In this case, the height is b³ b² and the width is b² 7b 4. To find the area, we multiply these two expressions:

Area = (b³ b²)(b² 7b 4)

Using the distributive property to simplify, we get:

Area = b³ b² * b² + b³ b² * 7b + b³ b² * 4

Simplifying further, we have:

Area = b^5 + 7b^4 + 4b²