Question

please help!!! last question i have!
Tom cuts a piece of cardboard in the shape shown below.

A quadrilateral ABCD is shown with AB parallel to DC and AD is perpendicular to DC.

He plans to cut another piece of cardboard in the same shape. The length of the sides AB and DC of the new piece of cardboard are made six times the original dimensions, and the length of the side AD is halved. What is the area of the new cardboard piece?
Answer

twice the area of the original cardboard piece

one-sixth of the area of the original cardboard piece

one-third of the area of the origina

Answer 1

http://go.flvs.net/courses/1/flvs_57_3641_12676/ppg/respondus/pool_Geom_3641_0700_Subtest_01_06/image0034e5f988b.jpg

Answer 2

must be thrice the original

Answer 3

My conclusion is the same as experimentX. Break the figure into two sections by a vertical line from B. The rectangle is six times as wide, and half as tall, to get three times the original area. Similarly, the triangle has a base (the vertical line we added to the figure) half as long as the original, with a height six times as tall. Again, three times the original area.

Answer 4

3 times
Original: 1/2 x (y + z)
Enlarged: 1/2* (1/2 * x) * 6(y+z) = [1/2 * 6] (1/2 x (y + z))

[1/2 * 6] = 3 for three times the original size