Given Info:
Area (A) = 312 square yardsWidth (W) = x yardsLength (L) = (2x + 2) yards
Rectangle Area Formula:
A = LW
Substituting our value for A andexpressions for L and W:
312 = (2x + 2)(x)
Solving our equation for x (width):
312 = (2x + 2)(x)312 = 2x
2 + 2x2x
2 + 2x - 312 = 0x
2 + x - 156 = 0(x + 13)(x - 12) = 0x = -13 and x = 12
Disregard negative solution(can't have a negative measurement),Solution (Dimensions):
Width (x) = 12 yardsLength (2x + 2) = 2(12) + 2 = 26 yards
Solution Check:
A = LW312 = (26)(12)312 = 312 (it checks)
312 = x(x + 2)
312