Answer:
Perimeter of shape,which is a convex polygon i.e quadrilateral = 24.2 in
Sides are 8.3 in, 8.3 in, 3.8 in ,and length of fourth side be x in.
As , Perimeter = Sum of all sides
→ 24.2 = 8.3 + 8.3 + 3.8 + x
→ 24.2 = 16.6 +3.8 + x
→ 24.2 = 20 .4 + x
Keeping like terms on one side, of equation
→ 24.2 - 20.4 = x
→ 3.8 = x
→ x = 3.8
So, length of fourth side = 3.8 in
The given shape is definately either a Parallelogram or a kite.
Answer:
The distance between the bird houses are 10.26 feet
Step-by-step explanation:
<span>For all rectangles with a fixed perimeter of p the rectangle with the maximum area is one where the length is p/4 and the width is p/4, in other words a square. The area of such a rectangle would be (p*p) /16.</span>
Answer:

Step-by-step explanation:
We have a right triangle with long side of 11in and smaller sides 14in/2=7in and h.
We know that

You can express the edge lengths in terms of "cubes" or you divide the total volume by the volume of a cube. It works either way.
Edge lengths are
.. 80 cubes by 8 cutes by 13 cubes
so total volume is
.. (80 * 8 * 13) = 8320 cubes
In cubic inches, the volume is
.. (20 in)*(2 in)*(3 1/4 in) = 130 in^3.
The volume of a 1/4-in cube is (1/4 in)^3 = 1/64 in^3.
Then the number of cubes that will fit in the prism is
.. (130 in^3)/(1/64 in^3) = 8320 . . . . cubes
8320 cubes are needed to fill the rectangular prism.