Area of parallelograms In this problem, we’re going to be finding out the area of the parallelogram. Remember that an area of a figure, when were looking for the area, it’s the measure of the sizes of region of an enclose figure. Area is measured in square units. For example, square inches would be inches squared or squared feet would be feet squared and etcetera. A parallelogram is a quadrilateral with opposite side parallel. The opposite sides of the parallelogram are parallel. In a parallelogram, either pair of the opposite sides can be chosen as bases, so the opposite sides that are parallel, they can be bases. The height of the parallelogram is the shortest distance between the two bases. Since any side of the parallelogram can be considered as the base, measure the height from the base chosen to the opposite side. Here we have our parallelogram and the rectangle will have the same base length and height as the parallelogram. Here’s our parallelogram and since were going to use this as our height and then the base is down here, so I can make this into a rectangle. The rectangle would be here and here and then this would be our base. The rectangle will have the same base length and height as the parallelogram. The rectangle will also have the same area as the parallelogram. Remember that we can represent a parallelogram as a rectangle, just like I did here in green. Since any side can be considered a base, we can measure the height form the base chosen on any side, just like we did. This is the base. We know the area of a rectangle. To find the area of a rectangle is the length times the width. The width of the rectangle is the same as the height of a parallelogram. This is something to keep in mind is that the width of a rectangle is the same thing is equal to the height of a parallelogram. The length of the rectangle is equal to, is the same as the base of a parallelogram. The area of the parallelogram is going to be the same, is going to equal at the area of a rectangle. We know that the area of the rectangle is length × height. Then we know the length is the same this as the base and the width is the same thing as the height. Therefore, if the area of a rectangle is length × height, the area of a parallelogram will be base × height. Let’s go ahead and find the area of this parallelogram. The area of the parallelogram will equal the base ×height. Our base is equal to the length which we know is 12 and the height which is our width is 5. Therefore, if I multiply 12×5, I get 60 cm2.The area of this given parallelogram is 60 cm2. The area is 60 cm2. Please remember that the area of a parallelogram is equal to the area of a rectangle which has the same base, length and height as the parallelogram. Things to keep in mind and remember are that the area of a figure is the measure of the size of region enclosed by the figure. A parallelogram is a quadrilateral and the opposite sides of parallelogram are parallel. Any parallelogram can be represented as a rectangle which will have the same base length and height as the parallelogram. The area of a parallelogram is base × height or b × h where b is the base and h is the height. The area is measured in square units. We always measure area in square units. For example, square inches would be in2 and square feet would be ft2.