Find the area of a rectangle that has a length of 2x+3 and width of x. Some one painted an area inside the rectangle that has a length of 3 and a width of x-2. Find the area that was NOT painted.?

1 Answer
sankarankalyanam
Apr 21, 2018

#color(orange)("Area of NOT painted portion " = color(brown)(2x^2 + 6 = 2 * (x^2 + 3)#

Explanation:

#"Area of bigger rectangle " ABCD = (2x + 3) * x = 2x^2 + 3x#

#"Area of painted rectangle " EFGH = 3 * (x - 2) = 3x - 6#

http://www.excellup.com/classeight/matheight/8mensurationAdQues/8MensurationType1.aspx

#"Area of NOT painted portion "= Area ABCD - Area EFGH#

#"Area of NOT painted portion " = 2x^2 + 3x - 3 * (x - 2) = 2x^2 + 6 = 2 * (x^2 + 3)#

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