MATH SOLVE

2 months ago

Q:
# The owner of the Rancho Los Feliz has 7000 yd of fencing with which to enclose a rectangular piece of grazing land along the straight portion of a river. Fencing is not required along the river, and the length of the fencing parallel to the river is to exceed the length of the fencing perpendicular to it by 2500 yd. Find the area of the enclosed land (in sq yd).

Accepted Solution

A:

Answer:6000000 sq ydStep-by-step explanation:Data provided in the question:Length of the fencing = 7000 ydlet the perpendicular sides be 'P'and the length parallel to the river be 'L'according to the given questionL = P + 2500 ............(1)also,Length to be fenced = 2P + Lthus, 2P + L = 7000 ...........(2)substituting L from (1), we get2P + P + 2500 = 7000 or3P = 7000 - 2500or3P = 4500orP = 1500 ydThus, L = 1500 + 2500 = 4000 ydTherefore, the area of the rectangular land = L × P = 4000 × 1500 = 6000000 sq yd