# Math

posted by .

A farmer wishes to enclose a rectangular region with 196 meters of fencing in such a way that the length is twice the width and that the region is divided along its length into two equal parts. What is the length and width in meters?

• Math -

Did you make a sketch?
width = x
length = 2x
but you dividing the length in two, so all sides are x

Count the x's , we need 7x

7x = 196
x = 28

the large rectangle is 54m by 28m

I assumed that the dividing side is parallel to the width.
If your dividing line is parallel to the length, then I would
define the original width as 2x and the length as 4x (thus avoiding fractions)
Then I see 3(4x) + 4(x) = 196
16x = 196
x = 12.25
and the field was 24.5m by 49 m

## Similar Questions

1. ### MATH

A kennel owner has 164 ft of fencing to enclose a rectangular region. He wants to subdivide it into 3 sections of equal length. If the total area of the enclosed region is 576 square ft what are the dimensions. I know that the answer …
2. ### math

a farmer wishes to enclose a rectangular region with 210 meters of fencing in such a way that the length is twice the width and the region is divided into two equal parts. what length and width should be used?
3. ### math

A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is …
4. ### pre-calc

area of a rectangular region: a farmer wishes to create two rectangular regions bordering a river, by three fences perpendicular to the river and one connecting them. suppose that x represents the length of each of the three parallel …
5. ### Algebra 2

A farmer has 120 ft. of fencing available to enclose 2 adjacent rectangular pens alongside his barn. NO fencing is required along the bard side. He needs to have a total of 930 sq.ft. Determine the width (x) and the combined length …
6. ### Algebra

A farmer plans to enclose a rectangular region using part of his barn for one side and fencing for remaining sides. The area of the region is maximized when the width is 30 feet. a.) write an equation that could model the area as a …
7. ### math

a fencing company was asked to enclose three gardens with wire fences: a rectangular garden with a length of 270 meters and a width of 1123.62 meters; a square garden with a side length of 657.955 meters; and a rectangular garden with …
8. ### Math

A farmer uses 1034 meters of fencing to enclose a rectangular region and also to subdivide the region into three smaller rectangular regions by placing a fence parallel to one of the sides. Find the demensions that produce the greatest …
9. ### Mathematics

A rectangular garden is to be fenced along four sides and is to be divided into three parts parallel to two of its shorter sides. Find the dimensions of the garden if the length is twice its width and the total fencing materials is …
10. ### algebra

A veterinarian uses 300 feet of chain-link fencing to enclose a rectangular region and also to subdivide the region into two smaller rectangular regions by placing a fence parallel to one of the sides, (a) Write the width w as a function …

More Similar Questions