Answer: Ben's garden is 8.4 m long.
Step-by-step explanation:
Let's define:
B = length of Ben's garden.
A = length of Amy's garden
F = length of Faisal's garden.
We know that:
"Ben’s garden is 1.9 m shorter than Faisal’s garden"
This can be written as:
B = F - 1.9m
"Amy’s garden is three and a half times longer than Faisal’s garden."
A = 3.5*F
"Amy’s garden is 36.05 m long"
A = 36.05 m
Then we have the system of equations:
B = F - 1.9m
A = 3.5*F
A = 36.05 m
To solve this, we need to first replace the last equation into the second one, and in that way we can find the value of F.
A = 3.5*F
36.05m = 3.5*F
(36.05m)/3.5 = 10.3m = F
Now that we know the value of F, we can replace it in the first equation:
B = F - 1.9m
B = 10.3m - 1.9m = 8.4m
Ben's garden is 8.4 m long.
