The perimeter of the rectangle is 48 dm. Find the width of the rectangle if the length is 8 dm.

In order to find the perimeter of a rectangle, you need to add the lengths of all its sides. Let’s write down the formula for finding the perimeter of a rectangle.

P = a + a + b + b = 2 * a + 2 * c.

But, since we know the perimeter of the rectangle, and we also know the length of one of its sides, therefore we can find the length of the unknown side. We get:

P – 2 * a = 2 * b;

b = (P – 2 * a) / 2.

We substitute the values ​​we have in the resulting formula and find out what the second side of the rectangle is equal to, if we know that its perimeter is 48 dm, and the width is 8 dm.

in = (48 – 2 * 8) / 2;

h = 32/2;

h = 16 dm.

Answer: The length of the rectangle is 16 dm.