Question

What is the answer to this question

Answer 1

16 units²

Explanation:

Height² = 5² - 3²

Height² = 16

Height = 4

Area = base × height

4 × 4

16

Answer 2

16 square units

Explanation:

The area of a parallelogram is denoted by: A = bh, where b is the base and h is the height.

Here, we can see that the base is b = 4, but we don't know the height, which is the perpendicular distance between the top and bottom bases. To find it, notice that on the left, there's a right triangle, so we can use the Pythagorean Theorem to find the height:

h² = 5² - 3² = 25 - 9 = 16

h = √16 = 4

So, the height is 4. Plug this and the base value into the area formula:

A = bh

A = 4 * 4 = 16

The answer is 16 square units.