Find the Domain 2l+2w=90

Problem

2*l+2*w=90

Solution

1. Identify the variables and the context of the equation. In the context of geometry (such as the perimeter of a rectangle), l represents length and w represents width.

2. Solve for one variable in terms of the other to understand their relationship.

2*w=90−2*l

w=45−l

3. Apply physical constraints. For a geometric shape to exist, both the length l and the width w must be strictly greater than zero.

l>0

w>0

4. Substitute the expression for w into the inequality w>0 to find the upper bound for l

45−l>0

45>l

l<45

5. Combine the inequalities to determine the set of all possible values for l

0<l<45

Final Answer

Domain: *{[l,0<l<45]}

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