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

Write an algebraic expression in standard form for the shaded area of the following-example-1
User Semanser
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1 Answer

5 votes

Answer:

x² + 7x + 12

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

User Wahtever
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