- anonymous

Ben has an old rectangular banner that is 2 feet by 12 feet. He wants to make a new banner with the same area, but with different dimensions. The area of the banner is 24 square feet .
Which dimensions could Ben use?
A.
L = 20 feet; W = 4 feet
B.
L = 12 feet; W = 12 feet
C.
L = 6 feet; W = 3 feet
D.
L = 8 feet; W = 3 feet

- schrodinger

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- anonymous

area is l times w so find out which one multiplied equal 24

- anonymous

wut * pocker face *

- muscrat123

it would be d

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## More answers

- jtvatsim

Remember that the area of a rectangle is found by multiplying the (length) x (width) of the rectangle.

- muscrat123

bc 8 x 3 = 24

- jtvatsim

Since the question tells us the area is 24 feet, and we want a "new banner but with same area" you just need to find the answer choice that makes an area of 24 feet.

- muscrat123

yep @jtvatsim

- anonymous

uh huh...

- jtvatsim

lol, not very convinced I see. :) Is it the "area" part that is confusing?

- anonymous

yep :D

- jtvatsim

OK, so I guess you could draw a picture and think of it this way...

- jtvatsim

|dw:1434057181445:dw|
Here's the old rectangular banner.

- anonymous

OH

- jtvatsim

By "area" we just mean chopping it up into 1-by-1 squares like this.

- jtvatsim

|dw:1434057264250:dw|

- jtvatsim

Those should all be the same size, sorry bad drawing on my part.

- jtvatsim

There are 2 squares per column, and 12 squares per row. That means there are 2 x 12 = 24 squares in all.

- anonymous

its ok

- jtvatsim

This is why we say that the area is (length) x (width) for rectangles. Make sense so far?

- anonymous

yep

- jtvatsim

So, now, we want to make a new banner that has the same area (has 24 squares inside).

- anonymous

ok

- jtvatsim

Well, look at choice A, a 20 by 4 banner... WAY TOO BIG!|dw:1434057484750:dw|

- anonymous

|dw:1434057558836:dw|

- jtvatsim

If you try B, 12 x 12 = 144 squares even worse!

- muscrat123

its d

- jtvatsim

C, is no good either, 6 x 3 = 18 squares... too small!

- anonymous

|dw:1434057628806:dw|

- jtvatsim

We have no other choice but D, and in fact, 8 x 3 = 24 squares... perfect! lol

- jtvatsim

That clear things up?

- muscrat123

very good explanation @jtvatsim

- anonymous

|dw:1434057706865:dw|

- jtvatsim

lol

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