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)

Question

UpStudy AI · Accepted Answer

1. The formula for the perimeter $$ P $$ of a rectangle is given by:
   $$
   P = 2(\text{length} + \text{width})
   $$

2. Substitute the given values into the formula:
   $$
   32 = 2(10 + x)
   $$

3. Divide both sides of the equation by 2:
   $$
   10 + x = 16
   $$

4. Subtract 10 from both sides to isolate $$ x $$:
   $$
   x = 6
   $$

5. Therefore, the value of $$ x $$ is $$ 6 $$ cm.
$$ x = 6 $$ cm

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)