Land in downtown Columbia is valued at 20 a square foot What
Land in downtown Columbia is valued at $20 a square foot. What is the value of a triangular lot with sides of lengths 116, 148, and 190 ft? (Round your answer to the nearest dollar.) Find the area of the shaded figure, rounded to two decimals. (Assume w = 3, x = 4, y = 5, and z = 6.)
Solution
1)given a=116, b=148, c=190
s=(a+b+c)/2 =(116+148+190)/2 =227
area of triangular lot =[s(s-a)(s-b)(s-c)]
area of triangular lot =[227*(227-116)*(227-148)*(227-190)]
area of triangular lot =8582 square foot
land is valued at $ 20 a square foot
so value of triangular lot =20* 8582 =$ 171640
