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September 23, 2014

September 23, 2014

Posted by **Lina** on Sunday, June 1, 2014 at 2:02pm.

Help please>.< Thank you in advance!

- Math -
**Reiny**, Sunday, June 1, 2014 at 2:45pmlength of side of the larger --- x

length of side of the smaller -- y

x+y = 5

So what do we see?

We see 4 side faces of the larger = 4x^2

we see 4 side faces of the smaller = 4y^2

If we look straight down, we see a small face on top of the large face exposing the edge of the large face not covered by the smaller cube.

But isn't that just equal to the surface area of the large top?

so 5x^2 + 4y^2 = 61

from x+y=5 ---> y = 5-x

5x^2 + 4(25-10x+x^2) = 61

5x^2 + 100 - 40x + 4x^2 = 61

9x^2 -40x + 39=0

(x-3)(9x-13) = 0

x = 3 or x = 13/9

the blocks could be 3ft for the larger, and 2 ft on each side for the smaller

or

the larger be have a side of 32/9 and the smaller 13/9 ft

- Math -
**Lina**, Sunday, June 1, 2014 at 4:15pmcan you provide a check for the answers?

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