The perimeter of the rectangle is 13dm, one of its sides is 1.5dm larger than the other. Find the area.

Let the width of the rectangular shape be x dm.

Then its length will be (x + 1.5) dm.

The perimeter of this rectangular shape will be (2x + 2x (x + 1.5)) dm or 13 dm.

Let’s compose an equation and find from it the width of a rectangular shape.

2x + 2 x (x + 1.5) = 13.

2x + 2x + 3 = 13.

4x = 13 – 3.

4x = 10.

x = 10: 4.

x = 2.5 dm.

Now let’s find the length of the rectangular shape.

To do this, we will increase the found width by 1.5 dm.

2.5 + 1.5 = 4 dm.

Find the area of ​​a rectangular shape.

To do this, we multiply its found dimensions by each other.

2.5 x 4 = 10 dm².

Answer: The area of ​​a rectangular figure is 10 dm².