Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

A parallelogram is shown. The length of the sides are 5 units and the length of the top and bottom segments are 8 units. A diagonal is drawn from one point to the opposite side. The length of the diagonal is 11 units.
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.

Area ≈
square units

Sagot :

Using the Heron's formula, the area of the parallelogram is 36.7 square units.

How to use Heron's formula?

Heron's Formula = √[s(s - a)(s - b)(s - c)],

where,

  • a, b, and c  = side of the triangle
  • s = semi perimeter of the triangle

Area of the parallelogram = 2(area of triangle)

Therefore,

The area of the triangle can be found using Heron's Formula

a = 5 units

b = 8 units

c = 11 units

s = 5 + 8 + 11 / 2 = 12 units

area of triangle = √[12(12-5)(12 - 8)(12 - 11)]

area of triangle = √12 × 7 × 4 × 1

area of triangle = √336

area of triangle = 18.3303027798

area of triangle= 18.33 units²

Therefore,

area of parallelogram = 2(18.33) = 36.6606055596

area of parallelogram = 36.7 unit²

learn more on Heron's formula here:https://brainly.com/question/12771530

View image vintechnology
origamirhino999

The correct answer is 36.7 square units

Math

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.