Question

The ratio of the length and breadth of a rectangular horticulture is 4:3.if the breadth is 40 m less than the length find the perimeter of the horticulture

Answer 1

Answer:  The required perimeter of the horticulture is 560 m.

Step-by-step explanation:  Given that the ratio of the length and breadth of a rectangular horticulture is 4:3 and the breadth is 40 m less than the length.

We are to find the perimeter of the horticulture.

Let 4x m and 3x m represents the length and breadth of the rectangular horticulture.

Then, according to the given information, we have

$3x=4x-40\\\\\Rightarrow 4x-3x=40\\\\\Rightarrow x=40.$

So, length of the horticulture is

$L=4\times40=160~\textup{m}$

and the breadth of the horticulture is

$B=3\times40=120~\textup{m}.$

Therefore, the required perimeter of the horticulture is given by

$P=2(L+B)=2(160+120)=2\times280=560~\textup{m}.$

Thus, the required perimeter of the horticulture is 560 m.