The perimeter of the rectangle is 11.2 dm, one of its sides is 2.4 dm larger than the adjacent one.

The perimeter of the rectangle is 11.2 dm, one of its sides is 2.4 dm larger than the adjacent one. Find the area of the rectangle.

Let’s express one of the dimensions of our rectangle, for which we will use the variable a.

Then we can write the second dimension as a + 2.4.

Since we know that its perimeter is 11.2 decimeters, then we can write down an equation and find out what its dimensions are:

a + a + 2.4 = 11.2: 2;

2a = 3.2;

a = 1.6;

1.6 + 2.4 = 4.

Let us determine how many square decimeters its area will equal if it has the dimensions found above:

1.6 * 4 = 6.4.

Answer: The area of our figure is 6.4 dm2.