Question

At the youth center, the committee has decided to create a circular shaped flower bed. They plan to cover the flower bed with mulch. A flower bed with a 12' diameter will cost $150 to cover with mulch. A flower bed with an 18' diameter will cost $300 to cover. Which is the better value?

Answer 1

12 in diameter bed will give better value

Explanation:

Given:

Cost of cover 12 in diameter bed = $150

Cost of cover 18 in diameter bed = $300

Find:

Better value

Computation:

Area of bed = πr²

Area of 12 diameter of bed = (22/7)(6)²

Area of 12 diameter of bed = 113.14 in²

Area of 18 diameter of bed = (22/7)(9)²

Area of 18 diameter of bed = 113.14 in²

Area of 18 diameter of bed = 254.57 in²

Compare cost of bed 1 = 113.14 / 150 = 0.75 in per dollar

Compare cost of bed 2 = 254.57 / 300 = 0.84 in per dollar

So,

12 in diameter bed will give better value