Question

Malachi and Talia are refreshing a triangular flower bed at their school. They want to know the area, so they know the amount of material they need. They know two adjoining sides measure 26 feet and 32 feet, and the angle formed between those sides measures 98 degrees. What is the area of their triangular flower bed to the nearest square inch?

Answer 1

Area = (1/2)(26)(32) sin 98° = 416 sin 98° ≈ 416(0.99026807) ≈ 411.952 ft².

Convert to square inches: 411.952 ft² × 144 in²/ft² ≈ 59,321 in².

So the area is about 59,321 square inches (to the nearest square inch).