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ICSE Class 9 Answered

ABCD is a rhombus and P, Q, R, S are mid-points of AB, BC, CD and DA Prove that quadrilateral PQRS is a rectangle. Recall that two circles are congruent if they have the same Prove that equal chords of congruent circles subtend equal angles at their centres. A conical tent is 10 m high and the radius of its base is 24 m Find:(i)slant height of the tent, (ii)cost of the canvas required to make the tent, if the cost of one m2 canvas is Rs. 70. Prove that the parallelogram which is a rectangle has the greatest area. Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm by 20 cm by 5 cm and the smaller of dimensions 15 cm by 12 cm by 5 cm. 5% of the total surface area is required extra, for all the overlaps. If the cost of the card board is Rs. 4 for 1000 cm2, find the cost of cardboard required for supplying 250 boxes of each kind.
Asked by gangesh2005vkv | 29 Jun, 2019, 12:41: PM
answered-by-expert Expert Answer
  1. Prove that the parallelogram which is a rectangle has the greatest area
ABCD is a rectangle and ABFE is a parallelogram, such that
AD = BC = AE = BF
Area of rectangle = base x altitude
                             = AB x AD
Area of parallelogram ABFC = base x altitude
                                                = AB x EG
InAGE, AE > EG    (AE is the hypotenuse of right triangle)
But AD = AE
AD > EG
Hence, ar(rectangle ABCD) > ar (parallelogram ABFE)
 
Answered by Sneha shidid | 30 Jun, 2019, 11:10: AM
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