The figure shows two right triangles, each with its longest side on the same line. For each triangle, calculate (vertical side) ÷ (horizontal side) to find the slope.

since this is on a graph, and perfectly lined up, you can just count the squares on the length of XY

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