Question

The perimeter of rectangular cocoa farm is 497 the length of the farm is 5/2 times the width find the width and the length of the farm

Answer 1

Answer:
width=71km, length=177.5km

Explanation:
Let × be the width of the farm.
Then the length of the farm will be 2.5x. perimeter of farm in terms of x=2.5x+2.5x+x+x=7x perimeter of farm in terms of x=perimeter of farm
7×=497
X=71 width=71km length=71×2.5=177.5

Answer 2

177.5 units

Explanation:

Let's denote the width of the cocoa farm as "w" and the length as "l". We know that the perimeter of a rectangle is the sum of all its sides, so we can set up the following equation:

2l + 2w = 497

We also know that the length is 5/2 times the width, so we can write:

l = (5/2)w

We can substitute this expression for "l" into the first equation and solve for "w":

2(5/2)w + 2w = 497

5w + 2w = 497

7w = 497

w = 71

So the width of the cocoa farm is 71. To find the length, we can use the expression we derived earlier:

l = (5/2)w = (5/2) * 71 = 177.5

Therefore, the length of the cocoa farm is 177.5.