Question

Write an algebraic expression in standard form for the shaded area of the following shape

Answer 1

Answer:

x² + 7x + 12

Step-by-step explanation:

The area of a rectangle = length × width

here length = x + 4 and width = x + 3, hence

A = (x + 4)(x + 3)

Each term in the second parenthesis is multiplied by each term in the first parenthesis.

A = x(x + 3) + 4(x + 3) ← distribute each parenthesis

A = x² + 3x + 4x + 12 ← collect like terms

A = x² + 7x + 12 ← in standard form