The area of a rectangle is 45cm2. The height is one less than two times the base. what is the length of the base
h = 2b - 1
h * b = 45
(2b - 1) * b = 45
Solve for b.
I hope t his helps.
900cm
you moron the answer is 900 how dumb can people be these days i just hate stupid children.
2-2
To find the length of the base of the rectangle, we can set up an equation based on the given information.
Let's assume the base of the rectangle is represented by 'x' cm.
According to the problem, the height of the rectangle is one less than two times the base. So, the height can be represented as (2x - 1) cm.
The area of a rectangle is given by the formula: Area = length x width.
In this case, the length is the base (x cm) and the width is the height (2x - 1 cm).
Given that the area of the rectangle is 45 cm^2, we can set up the equation as:
45 = x(2x - 1)
Now, we need to solve this equation to find the value of 'x' which represents the length of the base.
Expanding the equation:
45 = 2x^2 - x
Rearranging the equation to form a quadratic equation:
2x^2 - x - 45 = 0
Now, we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. Let's use factoring to solve it:
(2x + 9)(x - 5) = 0
Setting each factor equal to zero:
2x + 9 = 0 or x - 5 = 0
Solving for 'x' in each case:
Case 1: 2x + 9 = 0
2x = -9
x = -9/2
x = -4.5 (rejected since length cannot be negative)
Case 2: x - 5 = 0
x = 5
Therefore, the length of the base of the rectangle is 5 cm.