Question

Hal cuts a piece of cardboard in the shape shown below.

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 four times the original dimensions, and the length of the side AD is tripled. What is the area of the new cardboard piece?

Answer 1

@thomaster
@timo86m
@AkashdeepDeb

Answer 2

twelve times the area of the original cardboard piece

one-sixth of the area of the original cardboard piece

four times the area of the original cardboard piece

one-third of the area of the original cardboard piece

Answer 3

Do you know what the area of a trapezium is?
If not then you cannot possibly do this question directly!

Answer 4

I do know what it is

Answer 5

Temme!

Answer 6

?

Answer 7

Apply WHATEVER I have told you in the previous questions to solve this one!
It is EXACTLY the same type! :)

Answer 8

trapezium is a quadrilateral

Answer 9

Yes! And its area is?

Answer 10

bh+1/2(a-b)h

Answer 11

Excellent! :)
Or you can also write this!
1/2 * h * (Sum of parralel sides)
Got it? :)

Answer 12

Sorta

Answer 13

It is actually the ACTUAL FORMULA nothing much toget here!
Let's move on to the question...

Answer 14

He makes the parrallel sides 4 TIMES THEIR ORIGINAL LENGTH!
And the height becomes Thrice its original!
So..
New area = 1/2 * 3h * (4AB + 4CD) = 12 [1/2 * h * (AB + CD) ]
So it is 12 times the previous area!!
Got it? :)
Start answering some on your own now! :D