To find the area of the tile, we can split it into two triangles and one rectangle.
The area of the rectangle is the base times the height, so it is 6 cm x 3 cm = 18 cm^2.
The area of the larger triangle is (b x h)/2, so it is (4 cm x 7 cm)/2 = 14 cm^2.
The area of the smaller triangle is (b x h)/2, so it is (2 cm x 3 cm)/2 = 3 cm^2.
Adding up the areas of the rectangle and the two triangles, we get 18 cm^2 + 14 cm^2 + 3 cm^2 = 35 cm^2.
Therefore, the area of the tile shown is 35 cm^2.
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 7 centimeters. The right vertical side is labeled 3 centimeters. The portion of the top from the left vertex to the perpendicular segment is 4 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?
58 cm2
44 cm2
74 cm2
70 cm2
1 answer