dylangarnerrichards1 dylangarnerrichards1
  • 10-07-2020
  • Mathematics
contestada

The diagram shows a parallelogram.
4 cm
7 cm
100°
Work out the area of the parallelogram.
Give your answer to 2 significant figures.

Respuesta :

MollieToliver MollieToliver
  • 16-07-2020

Answer:

27.44 square cm

Step-by-step explanation:

If the length of parallelogram is a and b and angle between side a and b is [tex]\alpha[/tex].

Then area of parallelogram = [tex]a*b*sin(\alpha ) = ab sin(\alpha )[/tex]

Given side length 4 cm and 7 cm

angle between them = 100°

value of sin(100°) = 0.98

Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44

Thus, area of given parallelogram is 27.44 square cm.

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