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SSSSS [86.1K]
4 years ago
12

Farmers Jay, Peter, and Sam own rectangular farms, as indicated in the figure. Jay owns 2 acres of land, Peter owns 4 acres and

Sam owns 6 acres. Find the area of the common pasture. PLEASE HELP ASAP!

Mathematics
1 answer:
DENIUS [597]4 years ago
6 0

Answer:

Area of the common pasture = 12 acres

Step-by-step explanation:

Let the dimensions of the farm owned by Jay are 'a' units and 'b' units.

Area of the farm = ab = 2 acres

Similarly, areas of the farm owned by Peter with dimensions 'a' unit and 'c' unit = ac = 4 acres

And area of the farm owned by Sam with dimensions 'b' and 'd' units = bd = 6 acres

Now, \frac{ab}{ac}=\frac{2}{4}

\frac{b}{c}=\frac{1}{2} ---------(1)

\frac{ab}{bd}=\frac{2}{6}

\frac{a}{d}=\frac{1}{3} ---------(2)

\frac{b}{c}\times \frac{a}{d}=\frac{1}{2}\times \frac{1}{3}

\frac{ab}{cd}=\frac{1}{6}

cd = 6(ab)

cd = 6 × 2 [Since ab = 2 acres]

    = 12 acres

Therefore, area of the common pasture will be 12 acres.

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