A shelf has the shape of a triangle. The base of the shelf is 36 centimeters, and the height is 18 centimeters. Find the area of the shelf in square inches. Round to the nearest hundredth.

50.22 in²

Step-by-step explanation:

A shelf has the shape of a triangle. The base of the shelf is 36 centimeters, and the height is 18 centimeters. Find the area of the shelf in square inches. Round to the nearest hundredth.

Area of a Triangle = 1/2 × Base × Height

Base = 36 cm

Height = 18 cm

Area of the Triangle = 1/2 × 36 × 18

= 324 cm²

The area of the shelf(Triangular in shape) = 324 cm²

Converting to square inches

1 square centimetre = 0.155 square inch

324 square centimetre = x

x = 324 × 0.155 in²

x = 50.2201 in²

Approximately to the nearest hundredth = 50.22 in²

Therefore, the area of the shelf in square inches is 50.22 in²