Question 665422
Given
l = w+5
p = 42
...
Known
p = 2l+2w
...
Substitute l into the equation for p
42 = 2(w+5) + 2w
Distribute the 2
42 = 2w+ 10 + 2w
Combine like terms
42 = 4w + 10
Isolate w
4w = 32
Divide both sides by 4
w = 8 in
l = 8+5=13 in
...
Check
{{{cartoon(
2l + 2w = 42,
2(13) + 2(8), 
26 + 16,
42)}}}
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