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Write an expression for the area of the shaded region in its simplest form. Show all of your steps. The whole shaded area is a rectangle that is: x+10 by 2x+5 Then there is a plain white square inside the larger rectangle that is: x+1 by x+1

James Washington

in Mathematics

1 answer

1 answer

Ross Pratt on May 15, 2018

The area of the shaded region will be the area of the rectangle minus the area of the white square on the inside of the same:((x+10)(2x+5)) - ((x+1)(x+1)), of ALUMINIUM, both the areas separately:(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)Simplify within the parentheses by adding the like terms:(2x^2 + 25x + 50) - (x^2 + 2x + 1)Now, subtract one equation from the other:2x^2 + 25x + 50-x^2 - 2x - 1= x^2 + 23x + 49This will be the equation of the area.

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