Fritz plans to fence off a square lot and then cross-fence to divide it into four diferent lots. If he uses 1092 feet of fencing,then how much area will be fenc

Question

Answer must be given in square feet. I do not know why but that is what is asked of me. 

Answer 1

       ___________

       l         l         l

       l         l         l

       l_____l_____l 

       l         l         l

       l         l         l

       l_____l_____l        

 If this is what you mean you have 6 line segments that are congruent.

1092/6=182 feet

Each line segment is 182 feet long.

The area of the large square is 182*182=33,124 square feet.

Each small square is 33,124/4=8281 square feet.

When I submit my answer my diagram does not look like a square but it is with 4 smaller squares. The diagram gets distorted when you submit the answer.

Answer 2

First, area is measured in square units.  You're asked to find an area.

 

The question is then, what area is inclosed in a square area.  You can find the dimensions of the square from the amount of fencing required to go around the square and to divide it into 4 sub-squares.  Draw a picture.  You'll have something that looks like a window with 4 square panes.

 

Let the length of one side of the square be s.

The fence around the outside will equal the perimeter of the square: 4s

The cross fences to divide the big square are each the same length as one side of the square.  There are two cross fences, so their lengths add up to 2s.

The total amount of fencing required is 4s+2s = 1092.

6s = 1092

s = 182

 

The area of the big square is thus A = s² = 182² = 33124 sq ft

Answer 3

Does the question say whether the four smaller lots are all the same size?