-4
Because 15x-7x= 8x
8x+5x= 13x
13x= -52
-52 / 13= -4
x = -4
The space diagonal will have length ...
... d = √(1² +4² +2²) = √(1 +16 +4) = √21
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This can be found using the Pythagorean theorem. A drawing can help. Find the length of any face diagonal, then use that length as the leg of a right triangle whose hypotenuse is the space diagonal and whose other leg is the edge length not used in the first calculation.
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The area is another way of say perimeter. it's the inside area of the rectangle