Answer:
The width can be less than or equal to 9.8ft since the area is no more than 175ft²
Step-by-step explanation:
Taking the shape of the conference table to be rectangular in nature,
Area of a rectangle = Length × Width
Given the area = 175ft²
Let the width of the table be x and;
Length of the table be L
Since length of the table is 18 ft more than the width, x, this means;
L = 18+x
To get the with we plug in the given parameters in the formula to have;
175 = L×x
175 = (18+x)x
175 = x²+18x
x²+8x-175 = 0
Using general formula
x = -b±√b²-4ac/2a
Where a = 1 b = 8 c = -175
x = -8±√8²-4(1)(-175)/2
x = -8±√64+700/2
x = -8±√764/2
x = -8±27.6/2
x = -8+27.6/2(neglecting the negative)
x = 19.6/2
x = 9.8ft
The width can be less than or equal to 9.8ft since the area is no more than 175ft²
