Question 803076
We need to translate the first sentence into a mathy expression. We'll let L stand for length, and W width.

{{{L = 1.7*W}}}

We know that the Perimeter is all the sides added up. So 

{{{P = L + L + W + W}}}

We can substitute L = 1.7W into our equation for Perimeter:

{{{P = (1.7W) + (1.7W) + W + W}}}

and combine 'like' terms

{{{P=5.4W}}}

Now the question tells us that P = 25, so we can substitute THAT into the equation for Perimeter:

{{{(25)=5.4W}}}

and solve for W by dividing both sides by 5.4:

{{{W=4.63}}} meters

We can find out what the length, L, is by multiplying W by 1.7

{{{L=1.7(4.63)}}}
{{{L=7.87}}} meters

We can check our work to see if all the sides add up to equal 25.

{{{4.63+4.63+7.87+7.87}}}
={{{25}}}

So it checks out.