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Carta wishes to divide a board 36 cm long into three pieces in the ratio of 3:5. Find the length of each piece.

Answer :

Final answer:

To divide a board of 36cm in the ratio 3:5, we find one part is 4.5cm. Then, the first piece is 13.5cm, and the second piece is 22.5cm.

Explanation:

The problem is asking us to divide a board that is 36cm long into three pieces based on the ratio 3:5. To find the lengths of the pieces, we should first understand that the 3 and 5 in the ratio represent parts of the whole board. Therefore, the whole board represents 3+5=8 parts.

One part is therefore 36 cm ÷ 8 = 4.5 cm.

Using this, we can find the lengths of the pieces. The first piece (in the ratio of 3) will be 3 × 4.5 = 13.5 cm. The second piece (in the ratio of 5) will be 5 × 4.5 = 22.5 cm.

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Rewritten by : Barada

Final answer:

To divide the board 36cm long into three pieces in the ratio of 3:5, you divide the length of the board by the total ratio and then calculate the length of each piece. The lengths of each piece are first piece: 1.6875cm, second piece: 2.8125cm, third piece: 2cm.

Explanation:

To divide the board 36cm long into three pieces in the ratio of 3:5, we first find the total ratio by adding the two parts: 3 + 5 = 8. Then, we divide the length of the board by the total ratio: 36cm / 8 = 4.5cm. Now, we can calculate the length of each piece by multiplying the ratio with the total length: the first piece (3/8 * 4.5cm), the second piece (5/8 * 4.5cm), and the third piece (4/8 * 4.5cm). Simplifying the fractions, we get the lengths of each piece as follows: first piece: 1.6875cm, second piece: 2.8125cm, third piece: 2cm.

Learn more about Ratio here:

https://brainly.com/question/32531170

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