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

AFind the length of MP.
BFind the value of y and hence determine the length of RS.

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. class=

Verified Answer :

taskmasters

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. 

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