Find the missing variable for a tralezoid. A=68^2 b= h=4 B=21

2 answers:

6 0

The answer is: " 2291 units " .
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Explanation:
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Formula for "Area of a trapezoid" :
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Area = (1/2) * (base length 1 + base length 2) * height;

or: A = (1/2) * (b + B) * h.

We are missing the value for "b" one of the base lengths.

However, since: A = 68² (given) ; B (the other base length) = 21; and the perpendicular height, "h" = 4 ; we can plug this values into the formula, and solve for "b" ;
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A = (1/2) * (b + B) * h ; ↔ 68² = (1/2) * (b + 21) * 4 ;

↔ <span>4624 = 2 (b + 21) = 2b + 42 ;

</span> ↔ <span>4624 = 2b + 42 ;

</span> ↔ <span>2b + 42 = 4624 ;

Subtract "42" from each side of the equation:

     2b + 42 - 42 = 4624 - 42 ;

to get:   2b = 4582 ;
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    Now, divide each side of the equation by: "2" ; to isolate "b" on one side of the equation; and to solve for "b" ;
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             2b / 2 = 4582 / 2 ;
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to get:    b = 2291 units.
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