Alan

As follows:

This only makes sense if the the product and sum refer to all four siblings:

You get some nice curves with x = cos(a) + cos(b); y = sin(a) + sin(b).  

Presumably, with an infinite number of points the area covered is that of a circle with radius 2.

Area = 4pi.

The answer Geno gave is almost right; he just made a small error in the final step:

Geno's answer:

   3x² + 12x + 4

=  3(x² + 4x) + 4

=  3(x² + 4x + 4) + 4 - 12

=  3(x + 2)² - 12     This last line should be 3(x + 2)² - 8   (as 4 - 12 = -8)

so a = 3, h = -2, and k = -8

See my answer at:  https://web2.0calc.com/questions/what-is-the-polar-form-of-the-equation-of-x-6-2-y-2-36#r2 

"What is the polar form of the equation of (x+6)^2+y^2=36?"

The following shows the steps in the simplification:

Assuming we have log to the base 10, then

-log₁₀(x) = 5

log₁₀(x) = -5

x = 10^-5

Let there be x*y cubes on the bottom. Perimeter = 2(x + y)

2(x + y) = 18;   x + y = 9

Possibilities

x = 8,  y = 1.  8 cubes on the bottom. But 42/8 is not a whole number, so not this.

x = 7,  y = 2.  14 cubes on the bottom. 42/14 = 3, so height = 3 cubes = 3 cm.

x = 6, y = 3.   18 cubes on the bottom.  42/18 not a whole number.

x = 5, y = 4.    20 cubes on the bottom. 42/20 ...etc.

Let floor length be x and floor width be y. Then:

x*y = 195.   (1)

x*h = 120.   (2)

y*h = 104.   (3)

(2)*(3):   x*y*h² = 120*104 so h² = 120*104/195 (using (1));  h² = 64;  h = 8

Volume of room = x*y*h = 195*8 = 1560 m³