Answer:
1 inch equals 8 feet
Step-by-step explanation:
Given that;
Abigail drew a scale drawing of the oldest house in her town.
The actual length of the house = 64 feet long
Abigail scale drawing = 8 inches long
The scale he used in drawing the house is determined by choosing a perfect scale:
i.e
If 8 inches is used to draw an actual length of a house which is 64 feet long,
Then 1 inch should be able to draw (64 feet * 1 inch)/ 8 inches
So, 1 inch should be able to draw 8 feet long
Given:
Hexagonal pyramid
To find:
The edges of an hexagonal pyramid.
Solution:
Edges means lines which connecting to vertices.
Edges in the base of the pyramid:
AB, BC, CD, DE, EF, FA
Edges in the triangular shape of the pyramid:
AG, BG, CG, DG, EG, FG
Therefore edges of an hexagonal pyramid are:
AB, BC, CD, DE, EF, FA, AG, BG, CG, DG, EG, FG
Let 
be the dimensions of the rectangle. We know the equations for both area and perimeter:
So, we have the following system:
From the second equation, we can deduce
Plug this in the first equation to get
Refactor as
And solve with the usual quadratic formula to get
Both solutions are feasible, because they're both positive.
If we chose the positive solution, we have
If we choose the negative solution, we have
So, we're just swapping the role of 
and 
. The two dimensions of the rectangle are 
and 
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