Question

A rectangle has a height of 4 and a width of x2 + 3x + 2.

Express the area of the entire rectangle.
Expression should be expanded.

Answer 1

Given:

• A rectangle has a height of 4 and a width of x² + 3x + 2.

To find:

• The area of the entire rectangle.

Solution:

Hence, we know that area of rectangle is equals to the product of length and breadth.

Therefore, the area of rectangle is,

`= 4 *( {x}^(2) +3x + 2 ) \\ = 4({x}^(2) + 3x + 2) \\ = \green{ \boxed{4 {x}^(2) + 12x + 8}}`

Therefore, the answer is 4x² + 12x + 8.