Question

The area of the rectangular flowerbed is 20.4 square meters with a length of 12 square meters. How many meters of edging are needed to go around the flowerbed? Explain.

Answer 1

A = lw
20.4 = 12w
1.7 = w

P = 2 (l + w)
P = 2 (12 + 1.7)
P = 2 (13.7)
P = 27.4 m

Answer 2

There are needed 27.4 meters to go around the flowerbed.

Explanation:

In this problem, we have to calculate the perimeter of the flowerbed, which is the sum of all sides of the rectangular figure.

So, we know that the area of the flower bed is:
`20.4m^(2)`

Its length is:
`12m`

As a rectangle, its area would be:

`A=(length)(width)\\20.4=12w\\w=(20.4)/(12)=1.7`

Now we know the length, we can find the perimeter, remember that's just the sum of all sides, that is:

`P=l+l+w+w=2l+2w=2(l+w)\\P=2(12+1.7)=27.4`

Therefore, there are needed 27.4 meters to go around the flowerbed.