Question

 Draw a line segment of length 13cm and divide it in the ratio 8: 5. Measure the two parts.

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Answer 1

let the ratio of part 1 be 8x and the ratio of part to be 5x

therefore, 8x + 5x = 13

13x = 13

x = 1

now the measure of part 1 = 8 × x = 8 × 1 or 8 cm

now the measure of part 2 = 5 × x = 5 × 1 or 5 cm