12cm long diangonal of a rectangle makes an angle 30 degree with it's one side find it's perimeter and area?
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Answer:
ABCD is a square
AC = 12cm , ∠BAC = 30° Angles of ΔABC are 30°, 60°, 90°
AB =
6
√
3
63 cm.
BC = 6 cm.
Perimeter = 2(6 +
6
√
3
63) = (12 +
12
√
3
123) cm
Area =
6
×
6
√
3
=
36
√
3
6×63=363 cm2.
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