Question

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.​

Answer 1

x^2 + 10x +24

Explanation:

blue square

x ⋅ x = x^2

pink rectangle

x ⋅ 4 = 4x

green rectangle

x ⋅ 6 = 6x

orange rectangle

4 ⋅ 6 = 24

add them all together

x^2 + 4x + 6x + 24

simplify

x^2 + 10x +24