The perimeter of the rectangle is 6dm 8cm one of its sides is 1dm6cm less than the adjacent side. find the area of the rectangle.

Given:

The perimeter of the rectangle is 6 dm 8 cm.

One of the sides is 1 decimeter 6 cm smaller than the adjacent side.

Let’s translate all these values into centimeters:

6 dm 8 cm = 68 cm.

1 dm 6 cm = 16 cm.

Let one side be x cm.

Then the second side will be (x + 16) cm.

Let’s make the equation:

x + x + x + 16 + x + 16 = 68;

4x + 32 = 68;

4x = 68 – 32;

4x = 36;

x = 36: 4;

x = 9.

One side 9 cm.

Let’s calculate the second side:

9 + 16 = 25 cm.

Find the area of the rectangle:

9 * 25 = 225 cm2.

Answer: the area of the figure is 225 cm2.