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Mathematics 9 Online
marissabartoldo:

help

marissabartoldo:

Astro:

Do you know the area formula?

marissabartoldo:

LxWxH

Astro:

Yes, So if the frames area is 48 inches what would you do with the extra 1 inch

marissabartoldo:

multiply?

Astro:

Ok, The picture has a 1 inch frame what would that mean?

marissabartoldo:

the frame is one inch wide

Astro:

Yes, But what does that mean for the problem. What would you do?

Astro:

@boredfr

marissabartoldo:

I don't know

boredfr:

|dw:1619107739136:dw|

boredfr:

You need to figure out the dimensions of the frame in order to find the dimensions of the picture to calculate the area

boredfr:

So if the frame and picture is spare (even though I drew a rectangle) then what times its self will give you 48?

marissabartoldo:

6.928

Florisalreadytaken:

What? that doesnt make sense

Florisalreadytaken:

|dw:1619108737384:dw|

marissabartoldo:

@boredfr wrote:
;-; um well yh ok so basically one inch less then what would me 5.928 so then multiply that by its self
it was wrong

Florisalreadytaken:

because it is wrong...

marissabartoldo:

wait so how do you do it

Florisalreadytaken:

what we are asked to find, is just that middle square part -- to find that we run into 2 very simple equations x+2 would be one of the sides -- since we will find the area of the \( \square \), we have got 2 of that -- so the area of the whole thing would be \( Area = (x+2)(x+2) \)

Florisalreadytaken:

and the area of the painting itself would be x \( Area_{\;\square} = x \times x \)

Florisalreadytaken:

lets put it all together in 1 equation -- so the are of the whole thing, minus the area of just the painting \[ Area\;\square = (x+2)(x+2) -( x \times x)\]

Florisalreadytaken:

do the math and reply when you have an answer lol.

Florisalreadytaken:

oh i forgot -- we know that the area of the whole thing is 48 inches \( ^2 \) right? so the proper equation would be \(48 = (x+2)(x+2) -( x \times x) \)

marissabartoldo:

4x^2?

Florisalreadytaken:

what? how did you get that?

Florisalreadytaken:

@marissabartoldo wrote:
4x^2?
you are pretty close tho -- you might have made a mistake while factoring -- anyway it actually would be \( 4x \). so \( 4x=[48 -(2 \times 2)] \Rightarrow x=11 \)

Florisalreadytaken:

@florisalreadytaken wrote:
and the area of the painting itself would be x [color= inherit;][/color]\( Area_{\;\square} = x \times x \)
and here is your answer. use 11 for x

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