Question

Timothy Bergling 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 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

The logo has an area of 5.7 cm².

Explanation:

The area of the logo must be equal to the sum of the square's area and the triangle's one, therefore we will calculate each individually. The triangle is attached to the square, this means that its base has the same length as the side of the square.

`square = side^2 = 2^2 = 4 \text{ cm}^2`

`triangle = (b*h)/(2) = (2*1.7)/(2) = 1.7 \text{ cm}^2`

The total area of the figura is:

`total = square + triangle = 4 + 1.7 = 5.7 \text{ cm}^2`

The logo has an area of 5.7 cm².