Mr. and Mrs. Rose have six old railroad ties that they would like to use to border two different triangular flower beds. They have two ties that are 4 feet long, two ties that are 6 feet long, one tie that is 9 feet long, and one tie that is 5 feet long. Can these ties be used to border two flower beds without having to cut them? If so, what are the total possible dimensions for each set of flower beds?

2 ties of 4 feet and 1 tie of 5 feet

2 ties of 6 feet and 1 tie of 9 feet

Step-by-step explanation:

Given data

2 ties = 4 feet

2 ties = 6 feet

1 tie = 9 feet

1 tie = 5 feet

to find out

what are the total possible dimensions for each set of flower beds

solution

there are many combination but

the best possible combination are for 1st triangular

when we use 2 ties of 4 feet and 1 tie of 5 feet

and

for 2nd triangular

when we use 2 ties of 6 feet and 1 tie of 9 feet

only these are best combination