Question

The area of the rectangle MNPQ is 588 cm^2.

a) Find the length of MP.
b) Find the value of y and hence determine the length of RS.

Answer 1

Given:
Area of the rectangle = 588 cm²
Length = 28 cm
Width = ?

1588cm² = 28cm * w
588cm²/28cm = w
21cm = width.

Length of MP. Hypotenuse a right triangle.

a² + b² = c²
28² + 21² = c²
784 + 441 = 1225
c = √1225
c = 35 cm  length of MP.

sinθ = Opposite / Hypotenuse
sinθ = 21cm/35cm
sinθ = 0.60 

y = sin⁻¹(0.6)   *get the angle.