Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ What is the answer? A rectangle has an area of 120 square yards. The length of the rectangle is 8 yards longer than twice its width. Find the length and width. Recall that the area. of a rectangle is A=lw.

The problem can be solved using algebraic equations. We find a quadratic equation for width (w) which gives us a positive value of 6 yards. Substituting this in the length's equation gives us the length as 20 yards.

Explanation:

This problem can be solved using Algebra. First, we know that the area of a rectangle is found by multiplying its length (l) by its width (w). Therefore, we can set up the equations: lw = 120 square yards and l = 2w + 8 yards.

We can substitute the second equation into the first to get: (2w + 8)w = 120. This simplifies to 2w^2 + 8w - 120 = 0, a quadratic equation.

Solving the quadratic equation, we find the possible values for w to be 6 and -10. We discard -10 as width can't be negative, thus the width of the rectangle is 6 yards. Substituting this value in l = 2w + 8, we calculate the length to be 20 yards.

Learn more about Algebra here:

https://brainly.com/question/32436021

#SPJ11