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A developer wants to purchase a plot of land to build a house. The area of the plot can be described by the following expression: (4x+1)(5x−8) where x is measured in meters. Multiply the binomials to find the area of the plot in standard form. How many meters is it.

I need the actual square meters, not the formula

Sagot :

Answer:  20x^2 - 27x - 8

The units for this area is in square meters

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Explanation:

We can apply the FOIL rule

  • F = first = 4x*5x = 20x^2
  • O = outer = 4x*(-8) = -32x
  • I = inner = 1*5x = 5x
  • L = last = 1*(-8) = -8

The results then form:

20x^2-32x+5x-8

which simplifies to

20x^2-27x-8

This is the expanded form of (4x+1)(5x-8). This represents the area of the rectangular plot in square meters.

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