4. A rectangle has a length of 10 cm and a width of \( x \mathrm{~cm} \). The perimeter is 32 cm . Find the value of \( x \). ( 2 mark)

To find the value of \( x \), we can use the formula for the perimeter of a rectangle, which is given by \( P = 2(length + width) \). Here, the perimeter \( P \) is 32 cm, the length is 10 cm, and the width is \( x \) cm. Let's set up the equation: \[ 32 = 2(10 + x) \] Dividing both sides by 2 gives us: \[ 16 = 10 + x \] Now, subtracting 10 from both sides yields: \[ x = 16 - 10 \] \[ x = 6 \] So, the value of \( x \) is 6 cm.