the area of a square patio is 49^3 square inches. find the length of one side of the patio.

Question

i need help solving this equation

Answer 1

First we will need to calculate 49³ in order to see how many square inches we are dealing with. This results in 117,649 square inches.

 

Now, because the patio is square, we know that each of its sides is the same length, so length = width in this problem. The formula for the area of a square is A = L * W, but since L = W in this problem, we can say A = L * L (or W * W, whichever you prefer), so A = L². We need to solve for L, so we will take the square root of each side √(A) = L. Now we just need to plug in for A, which we calculated at the beginning.

 

√(117,649) = 343 = L

 

So one side of the patio is 343 inches.