Answer:
(a)The missing measurements are 9 feet and .
(b)Therefore, the length of the fence is
Step-by-step explanation:
The diagram of the yard is attached below.
(a)I have labeled the missing dimensions of the yard as x and y.
Therefore:
Similarly:
The missing measurements are 9 feet and .
(b)Length of the Fence
The fence is rectangular shaped with:
Length =
Width =
Perimeter of a Rectangle = 2(L+W)
Therefore, the length of the fence
1.25 or 1 1/4 however you want to look at it
From point A, draw a line segment at an angle to the given line, and about the same length. The exact length is not important. Set the compasses on A, and set its width to a bit less than one fifth of the length of the new line. Step the compasses along the line, marking off 5 arcs. Label the last one C. With the compasses' width set to CB, draw an arc from A just below it. With the compasses' width set to AC, draw an arc from B crossing the one drawn in step 4. This intersection is point D. Draw a line from D to B. Using the same compasses' width as used to step along AC, step the compasses from D along DB making 4 new arcs across the line. Draw lines between the corresponding points along AC and DB. Done. The lines divide the given line segment AB in to 5 congruent parts.
The answer is 43.01, because it is a 5-sided shape like a pentagon. Thus using the formula of to find the area of a pentagon, you will find the area of the shape.