.Solve the following activities : ( Marks : 4 ) i. []ABCD is trapezium, AB II CD , AM perpendicular to DC , AB= x , BC = (x-2) ,AM= (x-4), DC=(2x+1) and its area is 33 cm2. Find the lengths of all sides of the []ABCD. (Using information draw diagram) Solution: []ABCD is a trapezium. AB II CD A([]ABCD)= 1/2 (AB+CD) * ................ .................= (3x+1) * .............. 3x2 + .......... - 70 = 0 3x(...........)+10(..........)=0 (3x+10) (..........)=0 (3x+10)=0 or ............ = 0 x = - 10/3 or x = .......... But length is never negative. x not equal to -10/3 x = ...... AB = ..........., CD = ........... , AD=BC = .................
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Answer:
sorry i don't no the answer
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Answer:
AB∥CD
Area of a trapezium =
2
1
× (sum of parallel sides) × (height)
=
2
1
×(x+2x+1)(x−4)
=
2
1
(3x+1)(x−4)
=
2
3x
2
−12x+x−4
=
2
3x
2
−11x−4
Given the area of trapezium is 33cm
2
3x
2
−11x−4=66
⇒3x
2
−11x−70=0
⇒3x
2
−21x+10x−70=0
⇒3x(x−7)+10(x−7)=0
⇒(3x+10)(x−7)=0
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