Question

A family has a unique pattern in their tile flooring on the patio. An image of one of the tiles is shown.

A quadrilateral with a line segment drawn from the bottom vertex and perpendicular to the top that is 5 centimeters. The right vertical side is labeled 3 centimeters. The portion of the top from the left vertex to the perpendicular segment is 5 centimeters. There is a horizontal segment from the left side that intersects the perpendicular vertical line segment and is labeled 6 centimeters.

What is the area of the tile shown?

53 cm2
45.5 cm2
42.5 cm2
36.5 cm2

Answer 1

The area of the tile can be found by dividing it into two triangles and one trapezoid. The area of the trapezoid is (5+3)/2 x 6 = 24 cm^2. The area of the two triangles can be found using the height of 5 cm and the base of 6 cm and 2 cm, respectively. The total area is then 24 + (5 x 6)/2 + (5 x 2)/2 = 24 + 15 + 5 = 44 cm^2. Therefore, the closest answer choice is 42.5 cm^2. The answer is (C) 42.5 cm^2.

Explanation:

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