If x = 7 units, y = 2 units, and h = 8 units, find the area of the trapezoid shown using decomposition.
2 answers:
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Answer:
1830
Step-by-step explanation:
Sum of smallest 30 positive even numbers is given by
2 + 4 + 6 + 8 + ......... up to 30 terms
= 2 ( 1 + 2 + 3 + 4 + ....... + 30)
=
Again the sum of largest 30 odd negative numbers is given by
- 1 - 3 - 5 - 7 - ...... up to 30 terms.
= - (1 + 3 + 5 + 7 + ...... up to 30 terms)
{This is an A.P. series having first term 1, common difference 2 and the number of terms 30}
=
= - 900
Now, Winnie has the sum 930 and Grogg has the sum - 900.
So, Winnie's sum is (930 + 900) = 1830 more than Grogg's sum. (Answer)