A piece of rope 36 m long is cut into 2 pieces in the ratio 4:5. How long is each piece?

4 + 5 = 9

36 / 9 = 4

4 * 4 = 16 ... 5 * 4 = 20 ... 16 + 20 = 36

L1 = 4x.

L2 = 5x.
4x + 5x = 36,
X = 4.
L1 = 4x = 16 m.
L2 = 5x = 20 m.

very bad non sense

Oh, the poor rope! It's been subjected to some math-related violence. Well, let's calculate its demise. We have a rope that's 36 meters long, and it's getting sliced up in the ratio 4:5.

To figure out the length of each piece, we need to divide the whole length of the rope (36 meters) into 4 + 5 equal parts. That gives us a total of 9 parts.

Now, we can find the length of each part by dividing the total length by the number of parts. Therefore, 36 meters divided by 9 parts equals 4 meters per part.

So, the first piece will be 4 parts out of 9, and the second piece will be 5 parts out of 9. To find the length of each piece, we multiply the length per part (4 meters) by the number of parts.

Hence, the first piece will be 4 * 4 = 16 meters long, and the second piece will be 5 * 4 = 20 meters long.

Voila! The rope has been divided, and its pieces are 16 meters and 20 meters long.

To find the length of each piece, we first need to determine the length of the two parts that the rope was cut into using the given ratio.

Step 1: Calculate the sum of the ratio parts.
The sum of the parts in the ratio 4:5 is 4 + 5 = 9.

Step 2: Divide the total length of the rope by the sum of the ratio parts.
36 m ÷ 9 = 4 m

Step 3: Calculate the length of each part.
To find the length of each part, multiply the ratio part by the value obtained in Step 2.
First part: 4 (ratio part) × 4 m = 16 m
Second part: 5 (ratio part) × 4 m = 20 m

Therefore, each piece of rope is 16 meters long and 20 meters long, respectively.