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SOS NEED HELP
The area of the rectangle shown in the figure below is 20x^2+49x+30. Find the area of the shaded region. The units are in inches.

SOS NEED HELP The area of the rectangle shown in the figure below is 20x249x30 Find the area of the shaded region The units are in inches class=

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Banabanana
First we find the length (L) of a large rectangle:

[tex]L= \frac{20x^2+49x+30}{4x+5} =\frac{20x^2+25x+24x+30}{4x+5} =\frac{5x(4x+5)+6(4x+5)}{4x+5} = \\ \\ = \frac{(4x+5)(5x+6)}{4x+5} =5x+6[/tex]

Now find the length (l) of the smaller (shaded) rectangle:
[tex]l=5x+6-5x=6 \ in[/tex]

So, the area of the shaded region =  6 * 5 = 30 in².

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