Answer:
x = 1.25
Step-by-step explanation:
Givens
Area = L * w
L = 4x-1
w = 2x
Area = 10 cm^2
Formula
A = L * w
Area = 2x(4x - 1)
Solution
Area = 2x (4x - 1) = 10 Remove the brackets
2x * 4x - 2x = 10 Subtract 10 from both sides
8x^2 - 2x - 10 = 0 Factor
This factors into
(4x - 5)(2x + 2) = 0
4x - 5 = 0
4x = 5
x = 5/4
x = 1.25
2x + 2 = 0
2x = -2
x = - 1 When talking about area, this is an impossible answer.
