Question

In a parallelogram, the base is 3 times the height.

The area is 151.
How long is the base of the parallelogram?
Round your answer to the nearest tenth, if necessary.​

Answer 1

21.3

Explanation:

Let’s say the height of the parallelogram is “h” and the base is “b”. From the information given, we know that b = 3h. We also know that the area of a parallelogram is calculated by multiplying the base by the height, so A = bh. Substituting the value of b in terms of h, we get A = 3h * h = 3h^2. Since we know that the area is 151, we can solve for h: 3h^2 = 151 => h^2 = 151/3 => h ≈ 7.1. Now that we know the value of h, we can find the value of b: b = 3h ≈ 21.3. So, the base of the parallelogram is approximately 21.3 units long.