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

(C)221.5 miles

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
`=\frac12 ab\sin \theta`

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

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

`=\frac12 * 32 * 23 * \sin \37^\circ\\=221.47\\\approx 221.5$ square miles`

The correct option is C.