The question cannot be answered without further information. Have the rectangle and parallelogram the same length/ base? If not, what is the length of the rectangle and the base of the parallelogram?
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A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base?
The area of a parallelogram is the length of the 'base' times the altitude. In a rectangle, which is a special case of parallelogram, the altitude is maximum length and also is equal in length to the other side.
A rectangle with four equal sides would not be a rectangle, it would be a square. In a rectangle opposite sides are equal in length and are parallel.
Opposite sides of a rectangle must always be equal.
A square (a by a) and a rectangle (a by b) can have sides that are of equal length.