3 inches times 5 inches = 15 square inches
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They are: 3 inches and 5 inches respectively
Perimeter:20 inches Area:35
Call the width of the rectangle x. Call the length of the rectangle x + 2. The area of the rectangle would be the length times the width. We know this is 15 square inches. Set up the equation and solve for x. (x +2)x = 15 x2 + 2x = 15 x2 + 2x - 15 = 0 Factor the quadratic equation: (x - 3)(x + 5) = 0 x = 3 or x = -5 Since length can't be negative, discard the answer -5. If x = 3, then the width is 3 and the length is x + 2 or 5. 5 x 3 = 15 which equals the area.
314 square inches in total
L = 2W - 3 so W x (2W - 3) = 35, ie 2W^2 - 3W - 35 = 0 This factorises as (2W + 7)(w - 5) so the positive value for W is 5 in, making L = 7 in.