Question

The diagonal of a rectangle is 12 cm and it makes an angle 35° With one side. Find the perimeter of the rectangle. [sin 35° = 0.57, cos 35° = 0.82]

Answer 1

Let the breadth of the rectangle = x and length = y

sin 35° = \(\frac{x}{12}\)

x = 12 × sin 35 = 12 × 0.57 = 6.84 cm.

cos 35° = \(\frac{y}{12}\)

y = 12 × cos 35 = 12 × 0.82 = 9.84 cm.

Perimeter = 2(6.84 + 9.84) = 2 × 16.68 = 33.36 cm