Question

Ben’s garden is 1.9 m shorter than Faisal’s garden.

Answer 1

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.