the perimeter of a rectangle is 66 inches. the length is 2x+6inches and the width is x-3 inches. write and solve an equation to find the vaule of x
To find the perimeter of a rectangle, we add the lengths of all four sides.
Given that the length of the rectangle is 2x + 6 inches and the width is x - 3 inches, we can write the equation for the perimeter as:
2(2x + 6) + 2(x - 3) = 66
Simplifying this equation, we get:
4x + 12 + 2x - 6 = 66
6x + 6 = 66
Next, we need to solve for x. Subtracting 6 from both sides of the equation, we have:
6x = 60
Finally, we divide both sides of the equation by 6:
x = 10
Therefore, the value of x is 10 inches.