A large parallelogram is divided into four small parallelograms as shown. The areas of three of the four small parallelograms are labeled in the diagram. What is the area of the remaining small parallelogram?
ps: the answers arent 3,2 or 1
The products of diagonal areas are equal
Thus
4*5 = 6 *x
20 = 6 * x divide both sides by 6
20 / 6 = x = 10 / 3 = missing area
thanks
Proof of this
Height * Width = Area
x * y = 4
x * z = 6
w * z = 5
w * y = ???
y = 4 /x
w = 5/z
w * y = 4/ x * 5 /z = 20 / xz = 20 / 6 = 10 / 3