Find the perimeter and area of a rectangle in which one of the sides is 3 7 / 11cm and is 8/11 of the length of the other side.

We transform one of the sides to an improper fraction:

3 7/11 = 40/11 cm;

Now let’s find the length of the other side. Let’s use the proportion:

40/11 cm – 8/11;

x – 1;

x = 1 * 40/11: 8/11 = (40 * 11) / (8 * 11) = 40/8 = 5 cm.

Now let’s find the perimeter of the rectangle. Add its length and width and multiply by two:

P = 2 * (40/11 + 5) = 2 * (40 + 55) / 11 = 2 * 95/11 = 190/11 = 17 3/11 cm.

Now we will find the area. Let’s multiply the length and width:

S = 40/11 * 5 = 200/11 = 18 2/11 cm2.

Answer: perimeter – 17 3/11 cm; area – 18 2/11 cm2.