Answer:
In conclusion, the width of the rectangle is 3.5 m and its length is 4 m.
Explanation:
Since area of the rectangle = 14 m2,
x(2x - 3) = 14
2x2 - 3x = 14
2x2 - 3x - 14 = 0
(2x - 7)(x + 2) = 0
2x - 7 = 0 or x + 2 = 0
x = 7/2 or x = -2 (reject since width cannot be negative)
x = 3.5
2x - 3 = 2(3.5) - 3
= 4
In conclusion, the width of the rectangle is 3.5 m and its length is 4 m.
Checking of solution:
Check length of a rectangle is 3 m less than twice the width: 3.5(2) - 3 = 4
Check area of the rectangle is 14 m2: 3.5(4) = 14