Question

The picture below shows the location of Tim, Kathy, Joe, and Brenda’s houses near a community hall. The shaded triangle has an area of 1200 square feet. The road connecting Tim and Brenda’s houses is bisected by the road connecting Joe and Kathy’s houses, as shown below.

What is the length of the road between Joe and Brenda’s houses?

30 ft

80 ft

60 ft

40 ft

Answer 1

if the triangle has an area of 1200, we can solve for the area of the base of the triangle
the two triangles are congruent because of SAS, so the height of the triangle is 30 as stated on the picture

Answer 2

so the answer is 30ft?

Answer 3

the area of a triangle is
A=1/2bh
so we have
1200=(1/2)(b)(30)
from that we can determine that the b or base is 80

Answer 4

ok so its the 2nd choice?

Answer 5

uumm. I'm still thinking, sorry, I need a second

Answer 6

ok

Answer 7

yes, i believe the answer is 80 because the two triangles are congruent because of SAS

Answer 8

ok thanks :)