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In terms of x, find an expression that represents the area of the shaded region. The outer square has side lengths of (x+5) and the inner square has side lengths of (x-2), as shown.

(Look at the attached image and fill in the empty boxes, please! Also if you could explain in a very dumb way how you did it, that'd be great.)

(Reposted bc I seriously need this answered.)

In terms of x find an expression that represents the area of the shaded region The outer square has side lengths of x5 and the inner square has side lengths of class=

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Banabanana
The area of the outer square = (x+5)² = x² + 10x + 25

The area of the inner square = (x-2)² = x² - 4x + 4

The area of the shaded region = (x² + 10x + 25) - (x² - 4x + 4)
                                                   = x² + 10x + 25 - x² + 4x - 4
                                                   = 14x + 21  square units

The expression that represents the area of the shaded region is 14x + 21 units²

Based on the information given in the question, the area of the outer square will be:

= (x + 5)² = (x + 5)(x + 5) = x² + 10x + 25

The area of the inner square will be:

= (x - 2)(x - 2) = x² - 4x + 4

Therefore, the area of the shaded region will be given thus:

= (x² + 10x + 25) - (x² - 4x + 4)

= 14x + 21

Therefore, the expression that represents the area of the shaded region is 14x + 21 units².

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