A rectangle has length xcm and width (x - 1)cm. If the perimeter is 16cm. Find the value of x
Question 1 Report
A rectangle has length xcm and width (x - 1)cm. If the perimeter is 16cm. Find the value of x
Answer Details
Let's start by finding an equation that relates the length and width of the rectangle to its perimeter. We know that the perimeter of a rectangle is the sum of the lengths of all its sides, which in this case is given as 16cm.
The perimeter, P = sum of all sides of rectangle = 2(length + width)
Therefore, we can write the equation as:
2(x + (x - 1)) = 16
Simplifying the equation, we have:
2x + 2(x - 1) = 16
4x - 2 = 16
4x = 18
x = 4.5cm
Therefore, the value of x is 4\(\frac{1}{2}\)cm, which is.
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