In pentagon ABCDE, the sum of sides CD and AE is 12 cm larger than side BC. Side DE is 45 cm

| August 15, 2021 | education

In pentagon ABCDE, the sum of sides CD and AE is 12 cm larger than side BC. Side DE is 45 cm, which is 18 cm less than side AB and 24 cm less than side BC. Find the perimeter of this pentagon.

We need to find the perimeter of the rectangle.

We have a pentagon ABCDE. In order to find the perimeter of a given figure, we need to add the lengths of all sides of this figure. That is, we get that the perimeter of the pentagon will be found as:

P = AB + BC + CD + CE + AE

We know the following from the problem statement:

DE = 45 cm;

AB = DE + 18 = 45 + 18 = 63 cm;

BC = DE + 24 = 45 + 24 = 69 cm;

CD + AE = BC + 12 = 69 + 12 = 81 cm

Substitute the resulting values into the formula for finding the perimeter and get:

P = AB + BC + CD + CE + AE = 81 + 45 + 63 + 69 = 258 cm.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.