justice74
17.07.2019 •
Mathematics
The length of a rectangle is 9 more than the width. the area is 286 square inches. find the length and the width of the rectangle
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Ответ:
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
Ответ:
Hope this helps you to understand, to do the problem and for future problems!
Step-by-step explanation:
All you have to do is take the numbers, add them, then divide them by how much there are. Once you did that if its a negative you just turn it positive bc its absolute.