Question

Please answer this in two minutes

Answer 1

Answer:

366.6 mm²

Step-by-step explanation:

Step 1: find XY using the Law of sines.

Thus,

$\frac{XY}{sin(W)} = \frac{WY}{sin(X)}$

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

W = 180 - 113 = 67°

WY = 24 mm

X = 43°

XY = ?

$\frac{XY}{sin(67)} = \frac{24}{sin(43)}$

Cross multiply:

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

$XY*0.68 = 24*0.92$

Divide both sides by 0.68 to solve for XY

$\frac{XY*0.68}{0.68} = \frac{24*0.92}{0.68}$

$XY = 32.47$

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)