You have 700 sq ft of plywood to make the stage floor. Use A^-1(x) to find the dimensions of both the runway and the main part of the stage.
main stage is a rectangle and runway is a square. length of the main stage is 3x o f the runway, the width of the main stage is 2x the length of the runway.
A^-1(x)= square root of 1/7 y.
looks good to me.
what does that mean? thats the question. i need to find the dimensions of both the runwway and the main part of the stage
To find the dimensions of both the runway and the main part of the stage, we need to solve the problem using the given equation A^-1(x) = √(1/7)x.
Step 1: Understanding the equation:
The equation represents the inverse relationship between the area of the plywood (A) and the length of the sides of the runway and main stage (x).
A^-1(x) represents the inverse of the area, and √(1/7)x represents the length of each side.
Step 2: Plug in the given value:
We are given the total area of the plywood is 700 sq ft, so we substitute A = 700 into the equation:
700^-1(x) = √(1/7)x
Step 3: Simplify the equation:
To simplify the equation, we square both sides to eliminate the square root:
(700^-1(x))^2 = (√(1/7)x)^2
(1/700)x^2 = (1/7)x^2
Step 4: Solve for x:
To solve for x, we can cancel out x^2 on both sides of the equation:
1/700 = 1/7
Step 5: Find the dimensions:
Since the equation is not solvable, we cannot find the exact dimensions of the runway and the main part of the stage with the given information.
Please provide additional information or clarify the given equation for me to help you further.