A triangular parcel of land has sides of lengths 700 feet 53

A triangular parcel of land has sides of lengths 700 feet, 530 feet and 679 feet. a) What is the area of the parcel of land? Area = b) If land is valued at 1600 per acre (1 acre is 43,560 feet^2 ), what is the value of the parcel of land? value =

Solution

a = 700 ft ; b = 530 ft ; c = 679 ft

Area = sqrt(s(s-a)(s-b)(s-c))

s = (a +b+c)/2 = 954.5 ft

Area = sqrt( 954.5*254.5*424.5*275.5) = 168,551.07 sft

Area in arce =3.869 acre

Value of land = 3.869*1600 = 6191.04