A parallelogram is a quadrilateral where both of the pairs of opposite sides are parallel and congruent. Any side can be called the base of the parallelogram. Its height is the perpendicular distance between any two parallel bases. For the given parallelogram, we will find its perimeter and area one at a time.
Perimeter
The perimeter of a parallelogram is calculated by adding its four side lengths.
We are given that lengths of two adjacent sides of the parallelogram are 26 centimeters and 22 centimeters, but we are missing the two other measurements. However, the opposite sides of parallelograms are congruent, so we know that their lengths are also 26 centimeters and 22 centimeters.
Now we can add the four side lengths to obtain the perimeter.
Perimeter: 26+22+26+22=96 cm
Area
The area of a parallelogram is the product of a base and its corresponding height. We can consider the side whose length is 22 centimeters as the base and the height is 24 centimeters.
Now we can substitute lengths of the base and the height into the formula for the area of a parallelogram and simplify.
