Question

Please answer this in two minutes

Answer 1

366.6 mm²

Explanation:

Step 1: find XY using the Law of sines.

Thus,

`(XY)/(sin(W)) = (WY)/(sin(X))`

m < W = 180 - (70+43) (sum of angles in a triangle)

W = 180 - 113 = 67°

WY = 24 mm

X = 43°

XY = ?

`(XY)/(sin(67)) = (24)/(sin(43))`

Cross multiply:

`XY*sin(43) = 24*sin(67)`

`XY*0.68 = 24*0.92`

Divide both sides by 0.68 to solve for XY

`(XY*0.68)/(0.68) = (24*0.92)/(0.68)`

`XY = 32.47`

XY ≈ 32.5 mm

Step 2: find the area using the formula, ½*XY*WY*sin(Y).

Area = ½*32.5*24*sin(70)

Area = ½*32.5*24*0.94

= 32.5*12*0.94

Area = 366.6 mm² (nearest tenth)