Question

Can someone check my answer please?

The figure below shows a triangular lawn labeled PQR. There are two fences, AB and BC. What is the total length of the fence AB and BC?
56 feet
72 feet
100 feet
128 feet

Answer 1

my answer i got was 128

Answer 2

o.o anyone lol ...its geometry :o

Answer 3

Sorry I took so long. Made a typo I had to correct.


Triangle PRQ is similar to triangle PAB


So


PR/PA = QP/BP


120/x = 100/40


Now solve for x to get


120/x = 100/40


120*40 = 100x


4800 = 100x


4800/100 = x


48 = x


x = 48


So PA = 48


Therefore, AR is

AR = PR - PA

AR = 120 - 48

AR = 72


So BC = 72 since opposite sides of a parallelogram are equal.


Triangle PRQ is similar to triangle PAB, we can also say


RQ/AB = QP/BP

140/x = 100/40

140*40 = 100x

5600 = 100x

5600/100 = x

56 = x

x = 56

So AB = 56


Therefore,


AB + BC = 56 + 72

AB + BC = 128


So you are 100% correct

Answer 4

lol its okay but thanks! :D

Answer 5

you're welcome