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balandron [24]
2 years ago
10

Please Help!

Mathematics
2 answers:
Harrizon [31]2 years ago
7 0
Using the Herons formula, calculate the area of the parallelogram to the nearest tenth of a square unit.

Area = 36.7 square units.
alisha [4.7K]2 years ago
6 0

Diagonal of the parallelogram divides the parallelogram in to two equal areas.

So area of parallelogram = 2(area of triangle)

According to the given diagram,

AB= 8, AD = 5 and BD = 11

So according to the Heron's formula,

Area of triangle = \sqrt{s(s-a)(s-b)(s-c)}\\\\where,\\ s =\frac{a + b + c }{2}

and a, b and c are the three sides of the triangle

Area of triangle ABD =s=\frac{8 + 5 + 11}{2} \\\\s = \frac{24}{2}\\\\s = 12Area of triangle ABD = \sqrt{12(12 - 8) (12 - 5) (12 - 11)}\\\\Area of triangle ABD = \sqrt{12(4) (7) (1)}\\\\Area of triangle ABD = \sqrt{336}\\\\Area of triangle ABD = 18.33

So, area of parallelogram ABCD = 2(area of triangle ABD)

area of parallelogram ABCD = 2 (18.33)

area of parallelogram ABCD = 36.66

area of parallelogram ABCD = 36.7 sq. units

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Step-by-step explanation:

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6 0
3 years ago
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Help Me With This Question Please!
Andrej [43]

Answer:

∠AOB = 120°

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∠BOD = 140°

Step-by-step explanation:

First, find X !

Full circle is 360°

360 = (2x + 80) + (5x + 40) + 4x + x

360 = 12x + 120

240 = 12x

x = 20°

Substitute the X

∠AOB ≡ (2x + 80) =

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3 0
3 years ago
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