The area of a parallelogram is 40 and its two sides are 5 and 10 Find its height and Specify a greater height.

Recall that a parallelogram is a quadrilateral whose opposite sides are pairwise parallel.

The area of the parallelogram is equal to the product of the side of the parallelogram and the height drawn to this side: S = a · ha.

Given: parallelogram, S = 40, a = 5, b = 10.

Find: ha; hb.

Solution: from the formula for the area of a parallelogram, we express the height, find its length and write the larger one in response.

S = a ha; ha = S: a = 40: 5 = 8;

S = b hb; hb = S: b = 40: 10 = 4.

Answer: 8 – high height.