The formula for the area of a trapezoid is A=1/2h(b1+b2) if teh area of the trapezoid is 847 square centimeters and it's height is 60.5 centimeters. Which of the following could be the length of one of the bases?
A 26 cm B 29 cm C 32 cm D 35 cm
Area = (1/2) • h • (b1 + b2)
847 = (1/2) • 60.5 • (b1 + b2)
847 = (30.25) • (b1 + b2)
(b1 + b2) = 847 / (30.25)
(b1 + b2) = 28
The answer has to be A because
all the other answers are too large
to add the other base to.
check answer
Area = (1/2) • h • (b1 + b2)
= (1/2) • 60.5 • (26 + 2)
= (1/2) • 60.5 • (28)
= 847 True
.