Question

A room in the shape of a triangle has sides of length 17.9 yards, 14.3 yards, and 15.6 yards. If carpeting costs $19.35 per square yard, padding costs $2.30 per square yard, and there is no charge for installation, how much, to the nearest dollar, will it cost to carpet the room?

Answer 1

17.9 + 14.3 + 15.6 = 47.8

-17.9 + 14.3 + 15.6 = 12

17.9 - 14.3 + 15.6 = 19.2

17.9 + 14.3 - 15.6 = 16

A = (1/4)√(47.8 × 12 × 19.2 × 16)

= 104.943 yd^2

($19.35/yd^2)(104.943 yd^2) = $2,031

($2.30/yd^2)(104.943 yd^2) = $241

$2,031 + $241 = $2,272