The area of the trapezium is 35.75cm2. Find the value of x.
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Answer:
5.5
Step-by-step explanation:
Area of trapexium = (Sum of parallel sides)*(Distance bwteen them)/2
Sum of parallel sides= x-1+x+3=2x+2
Distance between them = x
=> 35.75=(2x+2)*x/2
=>35.75=2(x²+x)/2
=>x²+x=35.75
=>x²+x-35.75=0
x= 11/2 and x=-13/2
But length cannot be negative so x=11/2=5.5
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