4. 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.
for a) I am getting 2l+2w=100, is it correct? I am not sure
and I don't know how to get the answer for B)
please someone help me out, this question is driving me crazy!!!
To avoid confusing l and 1, I'll use L and W.
L is the total page length
W is the total width
Area = LW = 100
Let L' be the printable length, W' the printable width.
L' = L - 2*1 = L-2
W' = W - 2*1.5 = W-3
The printable area has margins top and bottom, and right and left. So, the printable area P is
P = L'W' = (L-2)(W-3)
a) To write an equation expressing the constraint, we need to consider the total area of the printed page and the margins.
The total area of the printed page can be calculated by subtracting the areas of the margins from the total area.
The top and bottom margins each have a width of 1 inch, so their combined width is 2 inches.
The side margins each have a width of 1.5 inches, so their combined width is 3 inches.
Therefore, the equation expressing the constraint is:
lw = (l - 2)(w - 3) = 100
b) To write an equation expressing the print area of the page, we need to consider the area without the margins.
The length without the margins would be equal to the total length minus the combined width of the side margins, which is (l - 3).
The width without the margins would be equal to the total width minus the combined width of the top and bottom margins, which is (w - 2).
Therefore, the equation expressing the print area of the page is:
Print area = (l - 3)(w - 2)