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Evgen [1.6K]
3 years ago
11

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

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

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

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(3x^2a - 4y^a z^3a) ^2 ...?
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The answer is 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ


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The length of a box is four inches less than triple its width in inches. What is the length of the box, in inches, if the box is
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