Question

Express the area of the entire rectangle. ?

Answer 1

Answer:

x² + 9x + 20

Step-by-step explanation:

Area of a rectangle can be found by multiplying the base with height (or length with width).

A(r) = l x h.

Multiply. Plug in:

x + 5 for l

x + 4 for h

A(r) = (x +5) * (x + 4)

Use the FOIL method to solve. Multiply the first terms of both parenthesis, the outside terms, the inside terms, and then the last terms. Combine like terms:

A(r) = (x + 5) * (x + 4)

x * x = x²

x * 4 = 4x

5 * x = 5x

4 * 5 = 20

x² + 4x + 5x + 20

x² + (4x + 5x) + 20

x² + 9x + 20

x² + 9x + 20 is your answer.

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Answer 2

(x+4)(x+5)

x^2 + 5x + 4x + 20

x^2 + 9x + 20