A Goldsmith wanted to design a golden ring in shape but he has rectangular piece of gold with him , so he decided to cut four right angled triangles to make desired design PQRS. Let us help him to find the area this ring.
(i) Area of rectangular piece of gold is
(a) 8x2+16xy+6y2 (b) 5x2+7xy+2y2
(c) 4x2+6xy+3y2
(d) 8x2+16xy+3y2
(ii) The Area of triangular pieces (APQ and BPS)
is
(a) 8x2+ 4xy (b) 4x2+6xy
(c) 6xy+3y2
(d) 8xy+2y2
(iii) Total area of the triangular pieces (DRQ and CRS) is
(a) 16xy+6y2
(b) 4xy+2y2
(c) 3y2+2xy (d) 8x2+ 4xy
(iv)Total area to be cut from rectangular piece of gold is
(a) 8x2+16xy+6y2 (b) 8x2+ 3xy+2y2
(c) 4x2+8xy+3y2
(d) 4x2+6xy+3y2
(v) Area of ring (PQRS) is
(a) 8x2+16xy+6y2 (b) 7x2+4xy+5y2
(c) 7x2+11xy+2y2
(d) 4x2+8xy+3y2
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Since time immemorial, jewelers have used just about every type of metal they can acquire for their creations. When new alloys and metals emerge, such as titanium and stainless steel, they eagerly embrace them. Jewelers adapt them for jewelry making and create beautiful pieces from them. Fashion trends utilizing trendy metals come and go. However, three jewelry metals have withstood the test of time and continue to have a strong presence in modern jewelry: gold, silver, and platinum.
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