normangraham normangraham
  • 06-06-2019
  • Mathematics
contestada

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 shape class=

Respuesta :

jimrgrant1 jimrgrant1
  • 06-06-2019

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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