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Calculating Area Red (square).Notice.The composite plane shape is not drawn to scale.Let x be the side length of the square.a = (8-x) units.It implies;a²+8² = 10²(8-x)²+64 = 100(8-x)² = 368-x = ±√(36...
Calculating x.a² = 6²+x²a = √(36+x²) units.a is the diagonal of the rectangle.b = ½(a)b = ½√(36+x²) units.Therefore, length x, the width of the rectangle is;6 ~ ½√(36+x²)x ~ 2Cross Multiply.12 = ½(x√...
Calculating Area Circle.Let x be the radius of the circle.a² = 4a = 2 m.a is the side length of the small square.b² = 16b = 4 m.b is the side length of the big square.c = (x-2) units.It implies;(x-2)...
Calculating Area BCA.a = x+1+1+2+2a = (6+x) units.a is the height of the triangle.b = x+1+1+2b = (4+x) units.c = (x+1) units.Calculating x.siny = 1/(x+1) --- (1).siny = 2/(x+4) --- (2).Equating (1) a...
Calculating Area Blue.Notice.The side lengths of the regular octagon and regular hexagon is 4 units each.a = ⅙*180(6-2)a = 120°a is the single interior angle of the regular hexagon.b = ⅛*180(8-2)b =...
