Answer:
dimensions are 2.19 inches by 9.14 inches
Step-by-step explanation:
Here, we are interested in knowing the dimensions of the rectangle
Now, let the width of the rectangle be x, from the question, we can write;
6x-4 as the length
Area of rectangle = l * b
x(6x-4) = 20
6x^2 - 4x = 20
divide through by 2
3x^2-2x = 10
3x^2 -2x -10 = 0
using quadratic formula;
x = -b ± √(b^2 - 4ac)/2a
From the quadratic equation, a = 3, b = -2 and c = -10
substituting these values, we have
x = 2 ± √(-2)^2 -4(3)(-10))/6
x = 2 ± √(124)/6
x = 2 + √(124)/6 or 2 - √(124)/6
x = (2+11.14)/6 or (2-11.14)/6
x = 2.19 or -1.52
Since width cannot be negative, we choose 2.19 alone
So the length is 6(2.19) -4 = 9.14
