Question

The area of a rectangular field is equal to the area of a square. The length of the

rectangular field is 4 times the width. The cost of rope per metre is Tk 7. The
cost of the rope to make fence twice around the field is Tk 5600.
a) What will be the perimeter of the rectangular field?
b)
If you sow a papaya plant in every 4 m2 area how many papaya plants will
be needed?

Answer 1

Let's assume that the area of the rectangular field is x square meters, and the width of the field is y meters. Then we know that:

x = y * 4 (since the length of the rectangular field is 4 times the width)

And we also know that the area of the rectangular field is equal to the area of a square. Therefore:

x = y^2

Combining these two equations, we get:

y^2 = y * 4

y = 4 meters

So the width of the rectangular field is 4 meters. Using this, we can find the length:

x = y * 4 = 4 * 4 = 16 square meters

Now, to find the perimeter of the rectangular field:

Perimeter = 2 * (length + width) = 2 * (16 + 4) = 40 meters

Therefore, the perimeter of the rectangular field is 40 meters.

Next, we need to find the number of papaya plants that can be sown in the area of the field. The total area of the field is 16 square meters. If one papaya plant is sown in every 4 square meters, then the number of plants required would be:

Number of plants = Total area / Area per plant

Number of plants = 16 / 4 = 4 plants

Therefore, 4 papaya plants can be sown in the rectangular field.