Question

The Henderson family runs a farm. A portion of the soil on their farm will not be used. What is the area of the portion of the soil that will not be farmed.

Answer 1

Answer:

(C)221.5 miles

Step-by-step explanation:

Given a triangle with two sides a and b and an included(an angle between the two given sides) angle $\theta,$

Area of the Triangle $=\dfrac12 ab\sin \theta$

$a=32 miles\\b=23 miles\\\theta =37^\circ$

Therefore, The area of the portion that will not be farmed

$=\dfrac12 \times 32 \times 23 \times \sin \37^\circ\\=221.47\\\approx 221.5 square miles$

The correct option is C.