A triangle is cut from a rectangle. The height of the triangle is half the unknown side length s. The shaded area that is left is 84 sq inches. What is the length of s.

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so we know that the area of the triangle is the height multiplied by its base and divided by 2, here we have s as base, and height as s/2, so we have: area = base*height/2 = s(s/2)(1/2) = s^2/4 = 84 s^2 = 4*84 = 336 s = 18.33 that is the s side length 18.33 in^2

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