1. the width of a rectangle is 10 mm shorter than its length. its perimeter is 244 mm. let l equal the length of the rectangle.

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Let l represent the length of the rectangle.

The first statement translates to:
l = 7 + w

The second statement translates to:
2l + 2w > 62

a. The first statement is the answer to this question: l = 7 + w

b. Since the question asks us to write AN inequality, we will "combine" the two equations by substitution.
2(7 + w) + 2w > 62
14 + 2w + 2w > 62
14 + 4w > 62

c. Now, all we have to do is solve the inequality.
Subtract 14 from both sides.
4w > 48

Divide both sides by 4.
w > 12
The width of the rectangle must be strictly greater than 12 mm.