Answer:
Width 13, Length = 22
Step-by-step explanation:
Let L = length and W = width
Given, length is 9 more than width, ie.
L = W + 9 ----> eq 1
Also given that area = 286 square inches.
Area of rectangle = length x width , or
286 = L x W -----> eq 2
2 equations, 2 unknowns => we can solve this system of equations by substitution.
Substitute eq 1 into eq 2,
286 = (W + 9) x W
286 = W² + 9W
W² + 9W - 286 = 0 (solve quadratic equation using your favorite method)
w = 13 or w = -22 (impossible since width cannot be negative)
hence W = 13 (substitute this back into equation 1)
L = 13 + 9 = 22
