Question

Tim is designing a logo. The logo is a polygon. Whose shape is a square attached to an equilateral triangle. The square and the equilateral triangle. The square and equilateral have side lengths of 2 centimeters, and the equilateral triangle has a height of about 1.7 cm. Find the area of the logo.

Answer 1

Given:
2 shapes : square and equilateral triangle
side length = 2 cm
height of equilateral triangle = 1.7 cm

Equilateral triangle means that all sides are of equal measurement.

Area of a Square = a² ⇒ (2cm)² = 4cm²
Area of an equilateral triangle = √3/4 * a² 
Area of an equilateral triangle = √3/4 * (2cm)² = 0.43 * 4cm² = 1.72 cm²

Area of the logo = 4 cm² + 1.72 cm² = 5.72 cm²