Question

HELP!!!
Lisa arranges 6 square paintings, as shown. The area of the arrangement is 225 square centimeters.

What would it cost Lisa to frame her arrangement at a cost of 12 cents per centimeter?

Answer 1

How do you find the area of a square?

Answer 2

Area = a2

Answer 3

Are equals the length of the side square.
Good.

Answer 4

225 = a2
=15
would 15 be the answer to the original questions though?

Answer 5

No. Be careful not to get tricked.
The arrangement has 6 square paintings with a total area of 225 cm^2.
How much is the area of each painting?

Answer 6

I'm not sure how i would figure it out, what would the equation look like?

Answer 7

This step is simpler than you think.
6 squares have a combined area of 225 cm^2.
What is the are of 1 square?

Answer 8

6 chocolate bars cost $2.25
How much does each chocolate bar cost?

Answer 9

Would the answer to the original question be 37.50

Answer 10

Or is that completely wrong?

Answer 11

That is correct.
Each square painting has an area of 37.5 cm^2.

Answer 12

This is still not the final answer. This is only a step in finding the answer.

Answer 13

Okay, so what' next?

Answer 14

Now we have the area of a square.
We can find the side of the square.

Answer 15

Remember what you did above with 225?
Take the square root of 37.5 cm^2 to find the length of one side of each painting.

Answer 16

I got 6.123724...

Answer 17

Or 6.25

Answer 18

Is it 6.25?

Answer 19

Let's call it 6.1237 cm for now.

Answer 20

That is the length of each side of each square, ok?

Answer 21

6.1237 is or 6.25?

Answer 22

6.1237

Answer 23

Okay

Answer 24

Now we need to see how many of theses lengths are needed to frame the picture arrangement.

Answer 25

Look in the figure. How many sides are the re all around the figure?

Answer 26

14

Answer 27

Correct.
Since each side is 6.1237 cm long, what is the length of 14 such sides?

Answer 28

85.7318 that doesn't seem right

Answer 29

The perimeter of the arrangement is 85.73 cm. That is correct, but we're not done yet.

Answer 30

The frame costs $0.12 per cm.
How much does 85.73 cm cost at $0.12 per cm?

Answer 31

10.2876?

Answer 32

10.28?

Answer 33

I'd round to $10.29.
That is it.

Answer 34

Okay, thank you so much

Answer 35

yw