Helga owns a campground, and she has installed a rectangular swimming pool measuring 10m by 20m. She wants to put a wooden deck of uniform width around the pool.

A. Helga has budgeted $1920 to spend on the deck and knows that construction costs are $30/m^2. What is the widest that that the deck can be?
B. Helga decides that the deck she can build $1920 is not big enough, so she budgets $6000 for the deck. How wide can the deck be now?
pls help

1 answer

deck length = 20
deck width = 10+2w

deck area = 20(10+2w) - 200 = 40 w

40 w (30) = 1920
w = 1.6 meters

1200 w = 6000
w = 5 meters