Find the perimeter and area of the rectangle

The answer to your question is Perimeter = 32.8 cm, Area = 62.4 cm

Step-by-step explanation:

data

diagonal = 12 cm

angle = Ф = 30°

Process

1.- Calculate the short leg and the long leg using trigonometric functions.

short leg = 12 sin 30

               = 6 cm

long leg = 12 cos 30

             = 10.39 ≈ 10.4 cm

2.- Calculate the perimeter

Perimeter = 2(short leg) + 2(long leg)

                = 2(6) + 2(10.4)

                = 12 + 20.8

                = 32.8 cm

3.- Calculate the area

Area = short leg x long leg

        = 6 x 10.4

        = 62.4 cm

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step-by-step explanation: