SOLUTION: A landscape architect is planning a rose garden. The garden will have a circular fountain with a diameter of 10 meters centered at the point of intersection of the diagonals of the

Question 1179446: A landscape architect is planning a rose garden. The garden will have a circular fountain with a diameter of 10 meters centered at the point of intersection of the diagonals of the rose garden. The vertices of the rose garden will be placed at points A, B, C and D. Each unit in the diagram represents 10 meters. A(4,5) B(14,10) C(10,17) D(2,16). Find the lengths of the sides of the rose garden, Find the slopes of the sides of the rose garden (must show work for both) and what shape is the best description of the rose garden? Explain! Please help need answered today
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

If you were in a hurry to get an answer, then you should have followed the instructions about posting which say you need to show the work you have done and tell us what it is about the problem you are having trouble with. Otherwise we will assume you are just wanting us to do all your work for you.

For side AB, you have A(4,5) and B(14,10). The difference in the x coordinates is 10; the difference in the y coordinates is 5. That makes the slope of AB 5/10=1/2 and the length of AB sqrt(10^2+5^2) = sqrt(125).

Do the same kinds of calculations for the other three sides of the garden.

Then to answer the question about the shape of the garden, it might help also to find the slopes of the two diagonals AC and BD.

If you need help finishing, re-post showing the work you have done....

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