A printed page is to have a total area of 100 square inches. The top and bottom margins are to be 1 inch and the side margins to be 1.5 inches. Let l represent the total length of the page and w represent the total width of the page.

a) Write an equation, using L and W, to express the constraint.
b) Write an equation, using L and W, to express the print area of the page.
c) Write the equation of the print area in terms of only.

a. I don't know what you mean by "constraint." L * W = 100?

b. (L-2)(W-3) = print area

c. In terms of only what?

a) The constraint equation can be expressed as follows:

2(1.5) + L = W

Explanation: The top and bottom margins are each 1 inch, so together they have a total width of 2 inches. The side margins are each 1.5 inches, so together they have a total length of 3 inches. The remaining area consists of the length (L) and the width (W), so we have 2(1.5) + L = W.

b) The equation to express the print area of the page is:
A = L * (W - 2)

Explanation: The print area is equal to the length times the width minus the area taken up by the margins. The total width is W, and since we have margins of 1 inch on each side, we subtract 2 from W to get the effective width for printing.

c) To express the equation of the print area in terms of L only, we substitute from equation a) into equation b):
A = L * (W - 2)
A = L * (L + 2 - 2)
A = L * L
A = L^2

Explanation: Since we know from equation a) that the width (W) equals the length (L) plus 3 (the margins on both sides), we can simplify equation b) by substituting (L + 2 - 2) for W. As a result, we get A = L * (L + 2 - 2) = L * L = L^2.