Question

in the adjoining figure ABCD is a trapezium ab is parallel to CD and its area is 33 CM Square from the information given in the figure find the length of all sides of ABCD feel empty boxes to get the solution​

Answer 1

AB = 7 cm  BC = 5cm  CD = 15 cm  AD = 5 cm

Step-by-step explanation:

in the adjoining figure ABCD is a trapezium ab is parallel to CD and its area is 33 cm²

Area = (1/2)((2x + 1 + x)(x - 4)   = 33

=> (3x + 1)(x - 4) = 66

=> 3x² - 12x + x - 4 = 66

=> 3x² - 11x - 70 = 0

=> 3x² - 21x + 10x - 70 = 0

=> 3x(x - 7) + 10(x - 7) =0

=> (3x + 10)(x - 7) = 0

x = 7    x = -10/3 but x can be -ve  as x is one of the side

=> x = 7

AB = 7 cm

BC = 7-2 = 5 cm

CD = 2*7 + 1 = 15 cm

AD  =  BC  given

=> AD = 5 cm

AB = 7 cm  BC = 5cm  CD = 15 cm  AD = 5 cm

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Answer 2

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