The area of a trapezoid is 100 square units. If the height is 5 inches, what is a possible combination for the lengths of the two bases? (Use whole numbers only.)
Atrapezoid = (1/2)h [ b1 + b2 ]
So.....the area =
100 = (1/2)h [ b1 + b2 ] = (1/2)(5) [ b1 + b2]
Multiply both sides by 2 and divide by 5
40 = b1 + b2
So.......we are looking for base lengths that sum to 40 using whole numbers.....
A possible combination is : b1 = 30 and b2 = 10