To'g'ri to'rtburchak shaklidagi matoning yuzi 4/5 m², eni esa 5/8 m. Matoning bo'yini toping.

Let $$A$$ be the area of the rectangular fabric, $$w$$ be its width, and $$l$$ be its length. We are given that the area $$A = \frac{4}{5}$$ m² and the width $$w = \frac{5}{8}$$ m. We need to find the length $$l$$. The area of a rectangle is given by the formula $$A = l \times w$$. So, $$l = \frac{A}{w} = \frac{\frac{4}{5}}{\frac{5}{8}} = \frac{4}{5} \div \frac{5}{8} = \frac{4}{5} \times \frac{8}{5} = \frac{4 \times 8}{5 \times 5} = \frac{32}{25}$$ To express the length as a mixed number, we divide 32 by 25: $$32 = 1 \times 25 + 7$$. So, $$\frac{32}{25} = 1\frac{7}{25}$$. Therefore, the length of the fabric is $$\frac{32}{25}$$ m or $$1\frac{7}{25}$$ m. Answer: $$\frac{32}{25}$$ m