# The perimeter of the rectangle is 6 in 8 cm, one of its sides is 1 in 6 cm less than the adjacent side.

**The perimeter of the rectangle is 6 in 8 cm, one of its sides is 1 in 6 cm less than the adjacent side. find the area of the rectangle.**

Let’s express all values in centimeters. There are 10 centimeters in one decimeter:

P = 6dm 8cm = 6 * 10 + 8cm = 68cm.

Let one of the sides be x cm, then the other side is equal to x-1dm 6cm = x-16 cm.

The perimeter is calculated by the formula the sum of the length and width multiplied by two.

P = 2 * (a + b)

2 * (x + x-16) = 68

2 * (2x-16) = 68

4x-32 = 68

4x = 68 + 32

4x = 100

x = 100/4

x = 25

Let’s calculate the length of the other side:

1) 25 cm – 16 cm = 9 cm length of the other side.

The area of a rectangle is calculated as the product of its length and width.

S = a * b

1) 25 cm * 9 cm = 225 cm2

Answer: the area of the rectangle is 225 cm2.