Which is longer, 1/4 of line a or 1/4 of line b? explain.

1/4 of Line A is SMALLER than 1/4 of line B.

Step-by-step explanation:

Here, two given lines are A and B.

Now,as we can see, From the two lines Line B is LONGER.

⇒ Length of line A < Length of Line B

Now as we know if we MULTIPLY or DIVIDE an inequality by a same positive number on both the sides, then the SIGN DO NOT CHANGE.

Here, divide both sides of the equation by 4, we get:

Hence, 1/4 of Line A is SMALLER than 1/4 of line B.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6