The answer is: " 12 cm " . ___________________________ Explanation: __________________________________ Formula for the area of a parallelogram:
Area = (base length) * (height) ; OR: __________________________________ A = b * h ; Solve for "b" (base length): __________________________________ Let us isolate "b" on one side of the equation: _____________________________________ We have: _____________________________________ A = b * h ; _____________________________________ Divide EACH SIDE of the equation by "h" ; to isolate "b" on one side of the equation ; ______________________________________ A / h = (b * h) / h ;
to get: A / h = b ;
or: ↔ b = A / h ; Solve for "b" ; ______________________________________ We are given: "A = 36 cm² " ; "h = 3 cm" ;
So, we plug these values into the equation ; ______________________________________ b = (36 cm²) / (3 cm) = 12 cm . ______________________________________ The answer is:12 cm. __________________________________________ The base length of the parallelogram is: " 12 cm " . __________________________________________