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What is the area of a
paralelogram (A = bh) if it
has a base of 4x + 3 and a height of 7x - 5?

Sagot :

The resulting area is [tex]28x^2 + x - 15.[/tex]

To find the area of a parallelogram, we use the formula A = bh, where b is the base and h is the height.

If the base is given as 4[tex]x[/tex] + 3 and the height is given as 7[tex]x[/tex] - 5, we can calculate the area by multiplying these expressions:

A = [tex](4x + 3)(7x - 5)[/tex]

Using the distributive property, we expand this product:

  • A = [tex]4x(7x) + 4x(-5) + 3(7x) + 3(-5)[/tex]
  • A = [tex]28x^2 - 20x + 21x - 15[/tex]
  • A = [tex]28x^2 + x - 15[/tex]

Therefore, the area of the parallelogram is given by the expression [tex]28x^2 + x - 15.[/tex]

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