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

The area of any trapezoid is

A = h(b1+b2)/2

We're quadrupling the bases and tripling the height, so...

A = h(b1+b2)/2

A' = (3h)(4b1+4b2)/2

A' = (3h)(4(b1+b2))/2

A' = 12h(b1+b2)/2

A' = 12*A

Note: A is the original area and A' is the new area

Answer 2

so 12 time the area of the original cardboard?

Answer 3

exactly

Answer 4

A' = 12*A

translates to

New area = 12 times original area

Answer 5

Awesome*

Answer 6

it wont let me reply to your message but is the answer to that 0.125?

Answer 7

hmm why won't it let you?

Answer 8

and no it's not 0.125

Answer 9

it wont let me reply :(

Answer 10

weird

Answer 11

try restarting your browser

Answer 12

i did more than once :(

Answer 13

hmm very odd

Answer 14

which browser are you using?