if line segment ab measures approximately 8.6 units and is considered the base of parallelogram abcd, what…

if line segment ab measures approximately 8.6 units and is considered the base of parallelogram abcd, what is the approximate corresponding height of the parallelogram? round to the nearest tenth.\n3.7 units\n4.1 units\n4.8 units\n5.6 units

if line segment ab measures approximately 8.6 units and is considered the base of parallelogram abcd, what is the approximate corresponding height of the parallelogram? round to the nearest tenth.\n3.7 units\n4.1 units\n4.8 units\n5.6 units

Answer

Explanation:

Step1: Count the grid - based area

We can count the number of full and partial squares within the parallelogram. By counting, we find that the area of parallelogram (ABCD) is approximately (40) square units (by counting the whole and half - squares).

Step2: Use the area formula

The area formula of a parallelogram is (A = b\times h), where (A) is the area, (b) is the base, and (h) is the height. We know (A\approx40) and (b = 8.6). We can solve for (h) using the formula (h=\frac{A}{b}). Substitute (A\approx40) and (b = 8.6) into the formula: (h=\frac{40}{8.6}\approx4.7\approx4.8) (rounded to the nearest tenth).

Answer:

4.8 units