Answer:
x² - 4x - 5 = 0
Width of rectangle = 5 inch
Length of rectangle = 2 inch
Step-by-step explanation:
Given:
Area of rectangle = 10 inch²
Length of rectangle = 2[Width of rectangle] - 8
Find:
Equation
Value of length and width
Computation;
Assume;
Width of rectangle = x
So,
Length of rectangle = 2[Width of rectangle] - 8
Length of rectangle = 2x - 8
Area of rectangle = Length × Width
10 = x(2x - 8)
2x² - 8x - 10 = 0
Divide by 2 from both side
x² - 4x - 5 = 0
x² - (5-1)x - 5 = 0
x² - 5x + x- 5 = 0
x(x - 5) + 1(x - 5)
x = 5 and x = -1
So,
Width of rectangle = 5 inch
Length of rectangle = 2x - 8
Length of rectangle = 2(5) - 8
Length of rectangle = 2 inch
