Question

Maria cut a rectangular piece of fabric. The area was 8/10 of a meter. The width was 6/10 of a meter. What was the length of the fabric?

Answer 1

The length of the fabric is
`\(1 (1)/(3)\)` meters. This is obtained by dividing the area
`(\((8)/(10)\)` square meters) by the width
`(\((6)/(10)\)` meters). Therefore, the correct answer is (a)
`\(1 (1)/(3)\)` m.

To find the length of the fabric, you can use the formula for the area of a rectangle:

`\[ \text{Area} = \text{Length} * \text{Width} \]`

Given that the area is
`\( (8)/(10) \)` meters and the width is
`\( (6)/(10) \)` meters, substitute these values into the formula:

`\[ (8)/(10) = \text{Length} * (6)/(10) \]`

Now, solve for the length:

`\[ \text{Length} = ((8)/(10))/((6)/(10)) \]`

Simplify the expression:

`\[ \text{Length} = (8)/(10) / (6)/(10) \]\[ \text{Length} = (8)/(10) * (10)/(6) \]\[ \text{Length} = (8 * 10)/(10 * 6) \]\[ \text{Length} = (80)/(60) \]\[ \text{Length} = (4)/(3) \]`

So, the length of the fabric is
`\( (4)/(3) \)` meters.

Now, let's express this as a mixed number:

`\[ (4)/(3) = 1 (1)/(3) \]`

Therefore, the correct answer is option (a)
`1 (1)/(3)` m.

Answer 2

its A

Explanation: