Question

Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), and G (6, 1). He has 16 units of fencing. Where could Alex place point H so that he does not have to buy more fencing?

A. (0, 1)
B. (0, −2)
C. (1, 1)
D. (1, −2)

Answer 1

The correct answer is C

Answer 2

C. (1, 1)

Explanation:

first lets find how much fencing he has used between the three sides they gave us.

between E and F, there is 2 units.

between F and G, there is sqrt(3^2 + 4^2) = 5 units.

so, lets try option C.

between E and C, there is 4 units.

between C and C and G, there is 5 units.

2 + 5 + 4 + 5 = 16, which is how much fencing he has.

yes, it is C. (1, 1)