question in the description

Question

1)  A sidewalk will be put in around the block. The sidewalk will cover an area of 67,500 square feet and the length will be three times the width. The area is represented by the equation: . Solve for w.

2)  Tony's favorite water slide is 18 meters long. The distance from the base of the slide to the bottom of the ladder is 10 meters long (see the image below). Applying the Pythagorean Theorem, the equation representing this situation is . Solve for h. 

Answer 1

Hi Athena F.

1) w(3w) = 67,500

3w² = 67500

Divide both sides by 3

w² = 67500/3

w² = 22500

To find w find the square root of 22500

2) h² + 10² = 18²

Apply PEMDAS

h² + 100 = 324

Subtract 100 from both sides

h² = 224

Then solve for h by finding the square root of 224