- anonymous

A parallelogram has an area of 14 cm 2. If the dimensions of the parallelogram are doubled, what will the new area be?
14 cm 2
28 cm 2
56 cm 2
112 cm 2
For a game, Tony has a rectangle drawn on a piece of paper that has an area of 18 in.2. What should he do to the dimensions in order to have a similar rectangle that's area is only 2 in.2?
Divide them by nine.
Divide them by six.
Divide them by three.
Multiply them by three.

- schrodinger

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- SolomonZelman

you can take a square to demonstrate this.

- SolomonZelman

|dw:1435778829705:dw|

- anonymous

^^

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## More answers

- anonymous

idk

- SolomonZelman

|dw:1435778855063:dw|

- SolomonZelman

that is when all dimensions are doubled.

- SolomonZelman

|dw:1435778929521:dw|

- SolomonZelman

you can see that when you doubled the dimensions your square got 4 times bigger, right?

- SolomonZelman

(same is true when doubling dimensions in a parallelogram)

- anonymous

yeah ..

- anonymous

i really suck at this stuff

- SolomonZelman

ok, so if you double the dimensions of a parallelogram your area will be 4 times bigger|dw:1435779175933:dw|

- SolomonZelman

so if your area of a parallelogram is 14, then when dimensions are doubled the area is going to be?

- SolomonZelman

(or, are you done with question 1 already?)

- anonymous

is it 28

- SolomonZelman

14 • 4 = ?

- SolomonZelman

your area is FOUR times bigger when dimensions are doubled.

- anonymous

56?

- SolomonZelman

yes

- SolomonZelman

Now, your next q. I will put it up again not to scroll up....

- SolomonZelman

` `
For a game, Tony has a rectangle drawn on a piece of paper that has an area of 18 in.2. What should he do to the dimensions in order to have a similar rectangle that's area is only 2 in.2?
Divide them by nine.
Divide them by six.
Divide them by three.
Multiply them by three.
` `

- SolomonZelman

you mean area of 18 in², and you want to multiply/divide the dimensions by some number, so that the area is only 2 in².

- SolomonZelman

so your rectangle has an area of `L•W`
In this case, we know that: L • W = 18
but we want that to be 2

- anonymous

is it C

- SolomonZelman

when you multiply the dimensions times this number (call it x), you are multiplying each dimensions by x, so our new equation is going to be
(L•x) • (W • x)=2
and we know (L) • (W)=2

- SolomonZelman

(L•x) • (W • x)=2
(L•W) • (x • x)=2
(L•W) • (x²)=2
substitue u=L•W
u • x²=2
x²=2/u
again, we know that L•W=18 (or u=18)
x²=2/u
x²=2/18
x²=1/9
x=1/3
(we don't consider negative scale factors)

- SolomonZelman

So, you would need to multiply times 1/3.
And multiplying times 1/3 is same as dividing by 3.
Yes, C is correct.

- anonymous

thank you:)

- SolomonZelman

yw (if you want to know how I put up • × ÷ ≈ and all that just let me know. it would work on most sites and word doc)

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