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- The area of a rectangle is calculated by multiplying its length by its width.
- Here, the length is given as $4x + 8$ and the width as $2x + 3$.
- Therefore, the area is $(4x + 8)(2x + 3)$.
- Using the distributive property (FOIL method):
- First: $4x \cdot 2x = 8x^2$
- Outer: $4x \cdot 3 = 12x$
- Inner: $8 \cdot 2x = 16x$
- Last: $8 \cdot 3 = 24$
- Combine like terms: $8x^2 + 12x + 16x + 24 = 8x^2 + 28x + 24$.
- The expression for the area is $8x^2 + 28x + 24$.

Parent Tip: Review the logic above to help your child master the concept of perimeter algebra.

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