Question

Rakesh has a rectangular plot whose length is two times it’s breadth. The perimeter of the plot is 6480m.He plans to make a vegetable garden in the form of a square whose perimeter is 1440m

If x is the breadth of the rectangular plot, then what would be its length
Find the plot’s dimensions
If y is the side of the vegetable garden write an equation to calculate its side.
Find the length of the vegetable garden.

Answer 1

Rectangular plot: 2160m by 1080m

Length of Vegetable Garden: 360m

Explanation:

Rectangular plot:

l = 2x

Perimeter of a rectangle = 2(l + b)

Since x is the breadth of the rectangular plot

2( l + x) = 6480m

l + x = 3240m

2x + x = 3240m

3x = 3240m

x = 1080m

Therefore, the rectangular plot dimension is (2160m by 1080m)

Vegetable Garden:

Perimeter of a square = 4y

4y = 1440m

y = 1440m / 4

y = 360m

Therefore the length of the vegetable garden is 360m