If $a$ and $b$ are positive integers such that $\gcd(a, b)=210$, $\mathop{\text{lcm}}[a, b]=210^3$, and $a

Step-by-step explanation:

Given

Required

The product of a and b --- missing from the question

To do this, we make use of the following formula:

So, we have:

Using the product law of indices, we have:

This means that the product of a and b gives

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

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step-by-step explanation:

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