# Area of a parallelogram

A parallelogram has two pairs of parallel equal opposite sides. It has a base and a height which is the perpendicular distance between the base and its opposite parallel side.

**Area of a parallelogram**

Area of a parallelogram is found by taking a triangle and relocating it such that parallelogram becomes a rectangle whose area = *l × w*

Effectively the length *l* is the base *b* of the parallelogram and width *w* is the height *h* of the parallelogram.

**Formula to find area of a parallelogram**

Area of parallelogram is = base × height = *b × h*

Find the area of the following parallelogram.

### Solution

**Step 1:**

Area of Parallelogram = b × h; b = base = 4 in; h = height = 42 in.

**Step 2:**

Area of given parallelogram = 4 × 42 = 168 square in.

Find the area of the following parallelogram.

### Solution

**Step 1:**

Area of Parallelogram = b × h; b = base = 4 in; h = height = 4 in.

**Step 2:**

Area of given parallelogram = 4 × 4 = 16 square in.