mark bought 168 meters of fencing to enclose an area of pasture for his sheep. he plans to use all of the fencing to make a rectangle that is twice as long as it is wide.

Mathematics · High School · Thu Feb 04 2021

llm

Answered on Tue Mar 08 2022

Given: perimeter of rectangular field = 168m

Let the width be x

Then, length is 2x

Formula: perimeter= 2(l+w)

Substituting values, we get

168 = 2(2x+x)

168 = 2(3x)

168 = 6x

Dividing both sides by 6, we get

6x/6 = 168/6

x = 28

So, width is 28 m.

Now, Length = 2x

= 2×28 = 56 m

Thus, length and width of rectangular field are 56m and 28m respectively .