Calculating x.Let AD = y.x² = y²+32²-2*32*ycosax² = y²+1024-64ycosa --- (1).x² = y²+17²-2*17*ycosax² = y²+289+34ycosa --- (2).Calculating y.Equating (1) and (2).y²+1024-64ycosa = y²+289+34ycosa1024-6...
Calculating Yellow Area.Let AB = BC = aLet BD = bIt implies;a² = b²+7²+2*7*bcosxa² = b²+49+14bcosx --- (1).a² = b²+25²-2*25*bcosxa² = b²+625-50bcosx --- (2).cosx = b/25 --- (3).Equating (1) and (2).b...
Sir Mike Ambrose is the author of the question.Area S, exactly in square units is;Area triangle with height 2 units and base (2sin120) units + Area triangle with height 2 units and base 2√(2) units -...
Calculating b/a.Let x be the side length of the square.Therefore;a+b = x c² = 15²+8²c² = 225+64c = √(289)c = 17 units.d²+x² = 17²d = √(289-x²) units.e = x-de = (x-√(289-x²)) units.b²+x² = 15²b = √(22...
Sir Mike Ambrose is the author of the question.Calculating Area Orange.yB = 6Area OABC = 161/5 square units.Let xB be a.Calculating g, gradient of length AB.(y2-y1)/(x2-x1) = gg = (6-4)/(a-0)g = 2/aT...
Calculating x, length AD.Let AB = AC = a.cosb = x/32 --- (1).a² = 32²+x²-2*32*xcosba² = 1024+x²-64xcosb --- (2).a² = 23²+x²+2*23*xcosba² = 529+x²+46xcosb --- (3).Equating (2) and (3).1024+x²-64xcosb...
Calculating r, radius of the half circle.a = 2r units.a is the diameter of the half circle.b = ½(2r-4)b = (r-2) units.c²+(r-2)² = (4√(3))²c²+r²-4r+4 = 48c² = 44+4r-r²c = √(44+4r-r²) units.d = (r-4) u...
Calculating the required red rectangle area.a = √(4) = 2 units.b = √(16) = 4 units.c = √(9) = 3 units.d = a+bd = 2+4d = 6 units.e = b-ae = 4-2e = 2 units.f² = 6²+2²f = √(40)f = 2√(10) units.f is the...
Sir Mike Ambrose is the author of the question.Area blue exactly is square units decimal form is;½(Area triangle with height (2√(2)+2√(2+√(3))) units and base 12.9282032303sin75 units - Area triangle...
Calculating Blue Area, Square.Let x be the side length of the blue square.a = (x+2) units.a is the diameter of the circle.b = ½(a)b = ½(x+2) units.b is the radius of the circle.c = ½(x-2) units.d = ½...
