SOLUTION: The sum of the two parallel sides of a trapezoid is 22 cm. The segment that connects the midpoints of the two non-parallel sides divides the area of the trapezoid into two parts, i

Question 1131094: The sum of the two parallel sides of a trapezoid is 22 cm. The segment that connects the midpoints of the two non-parallel sides divides the area of the trapezoid into two parts, in a ratio of 4:7. What is the product of the lengths of the two parallel sides?

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

The sum of the two parallel sides of a trapezoid is 22 cm.
=> the midpoint segment is sum of the parallel bases =

So, the height of the trapezoid =>
And the height of each separate trapezoid created by the midpoint line =
Call one of the base lengths , and the other
So call the area of the smaller trapezoid
And the area of the larger trapezoid
given
so,

.....cross multiply

-> one base
And the other base =>
So,the product of the bases is

RELATED QUESTIONS
The sum of the two parallel sides of a trapezoid is 22 cm. The segment that connects the... (answered by greenestamps)

The parallel sides of trapezoid ABCD are 3 cm and 9 cm(AB and DC).The non parallel sides... (answered by Edwin McCravy)

The length of the diagonal of a rectangle is 22 cm. What is the measure of a line segment (answered by jorel1380)

theorem 5. the segment that joins the midpoints of two sides of a triangle is a parallel (answered by ikleyn)

heorem 5. the segment that joins the midpoints of two sides of a triangle is a parallel... (answered by ikleyn)

Please help! Problem: "Prove that the figure formed by connecting the midpoints of the... (answered by venugopalramana)

Two Parallel sides DC & AB of a trapezium are 12 cm and 36 cm respectively. If non... (answered by Edwin McCravy)

find the length of the line segment that joins the midpoints of two sides of a triangle... (answered by MathLover1)

The parallel sides of a trapezoid are 12" and 18" long. The non-parallel sides meet when (answered by jim_thompson5910)