The length of a rectangular plot of land is 32 meters. The side of another plot of land is square 160dm.

The length of a rectangular plot of land is 32 meters. The side of another plot of land is square 160dm. Calculate how many meters of wire mesh you need to enclose each site if you know they have equal areas

Let’s translate 160 dm into meters, 160 dm = 16 m.

Area of a square S = a ^ 2

S = 16 ^ 2 = 256 sq. m.

The area of a square plot is equal to the area of a rectangular plot, which means you can find the second side of a rectangular plot of land.

Sp. = a * b from here b = S: a, b = 256: 32 = 8 (m)

The length of the wire mesh is equal to the sum of the perimeters of both parcels.

Perimeter of the square: P = 16 * 4 = 64.

Perimeter of the rectangle: P = (8 + 32) * 2 = 80.

Net length: L = 64 + 80 = 144 meters.