The answer is: " 2291 units " .
____________________________________________
Explanation:
____________________________________________
Formula for "Area of a trapezoid" :
____________________________________________
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" ;
________________________________________________
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 ;
</span>___________________________________________________
Now, divide each side of the equation by: "2" ; to isolate "b" on one side of the equation; and to solve for "b" ;
___________________________________________________
2b / 2 = 4582 / 2 ;
___________________________________________________
to get: b = 2291 units.
___________________________________________________
Put it in an equation;
it is given that 36 is the price after the 40% discount, so;
36=X*40%
X here is the original price
36=X*(40/100)
40X=3600
X=90$
Hope this helps.
60 ft = 20 yds
Hope this helped!
