Question 80622
In this problem, you have 2 equations with 2 unknowns. That means you can solve for the unknowns:
Since you are given the perimeter, you can derive your first equation from that:
Equation #1: {{{P=2L+2W=140}}}
You are also given the fact that the length is 10 yards more than the width. This forms the basis of your second equation:
Equation #2: {{{L=W+10}}}
Now that you have established the 2 equations, you are ready to go. First, plug in your expression for L from Equation #2 into Equation #1 and solve for W:
{{{2(W+10)+2W=140}}}
{{{2W+20+2W=140}}}
{{{4W=120}}}
{{{highlight(W=30)}}}
Now, you can plug this value of W into Equation #2 and get L:
{{{L=30+10}}}
{{{highlight(L=40)}}}
Good Luck,
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