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 wastage
(i) Length of the rectangular piece of gold is :
(a) 2y +3x (b) 2x+3y
(c) 6xy (d) 5xy
(ii) Breadth of the rectangular piece of gold is :
(a) 2y +4x
(b) 2x+4y
(c) 6xy (d) 8xy
(iii) The Area of triangular pieces (APQ and BPS) is
(a) 8x2+ 4xy (b) 4x2+6xy
(c) 6xy+3y2
(d) 8xy+2y2
(iv) Total area of the triangular pieces (DRQ and CRS) is
(a) 16xy+6y2
(b) 4xy+2y2
(c) 3y2+2xy (d) 8x2+ 4xy
(v)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
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1st a 2nd b 3rd a 4th d and 5th c
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