The top of the shape is 10m the right side of the shape is 4m the left side of the shape is 6m the bottom of the shape is 8m. Rebekah designs a playing field for a new sport. The playing field is pictured. What is the area of the playing field?
(1 point)
• 32 square meters
• 58 square meters
• 60 square meters
• 56 square meters
To find the area of the playing field, we can split the shape into two triangles and a rectangle.
The triangle on the left side has a base of 6m and a height of 10m, so its area is (1/2) * 6 * 10 = 30 square meters.
The triangle on the right side has a base of 4m and a height of 10m, so its area is (1/2) * 4 * 10 = 20 square meters.
The rectangle at the bottom has a length of 8m and a width of 6m, so its area is 8 * 6 = 48 square meters.
Adding up the areas of the two triangles and the rectangle, we get: 30 + 20 + 48 = 98 square meters.
Therefore, the area of the playing field is 98 square meters. None of the provided options match this answer.