The common denominators would be 2,8,6,1
Answer:
20
Step-by-step explanation:
Because it is a square table, that means all the sides are even. And to find the area, we do Height * Base. But again, because they're even, we would just need to find 2 numbers that multiply to be 400. And that number, is 20. 20 * 20 = 400. So the length of one side is 20.
Product and times both mean multiply. Knowing this the expression is 8*3*11, or 264
The area of a rectangle is the product of its dimensions
The dimensions of the rectangle are:
and ![\mathbf{Width = a^2 + 5a + 25}](https://tex.z-dn.net/?f=%5Cmathbf%7BWidth%20%3D%20a%5E2%20%2B%205a%20%2B%2025%7D)
The area is given as:
![\mathbf{Area = a^3 - 125}](https://tex.z-dn.net/?f=%5Cmathbf%7BArea%20%3D%20a%5E3%20-%20125%7D)
Express 125 as 5^3
![\mathbf{Area = a^3 - 5^3}](https://tex.z-dn.net/?f=%5Cmathbf%7BArea%20%3D%20a%5E3%20-%205%5E3%7D)
Apply difference of cubes
![\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}](https://tex.z-dn.net/?f=%5Cmathbf%7BArea%20%3D%20%28a%20-%205%29%28a%5E2%20%2B%205a%20%2B%205%5E2%29%7D)
![\mathbf{Area = (a - 5)(a^2 + 5a + 25)}](https://tex.z-dn.net/?f=%5Cmathbf%7BArea%20%3D%20%28a%20-%205%29%28a%5E2%20%2B%205a%20%2B%2025%29%7D)
The area of a rectangle is:
![\mathbf{Area = Length \times Width}](https://tex.z-dn.net/?f=%5Cmathbf%7BArea%20%3D%20Length%20%5Ctimes%20Width%7D)
So, by comparison:
![\mathbf{Length = a -5}](https://tex.z-dn.net/?f=%5Cmathbf%7BLength%20%3D%20a%20-5%7D)
![\mathbf{Width = a^2 + 5a + 25}](https://tex.z-dn.net/?f=%5Cmathbf%7BWidth%20%3D%20a%5E2%20%2B%205a%20%2B%2025%7D)
Read more about areas at:
brainly.com/question/3518080