Raheem designs the garden above.
1. Find the total area of the garden. (Hint: Split up the composite shape into shapes that you can find the area of!) (1 point)
2. Explain how you found the total area of this composite shape. (2 points)
(3 points)
1. The total area of the garden can be found by splitting it into three shapes: a rectangle, a large triangle, and a small triangle.
2. To find the area of the rectangle, we use the formula A = length x width. Given that the length is 10 meters and the width is 5 meters, the area of the rectangle is 50 square meters.
To find the area of the large triangle, we use the formula A = 0.5 x base x height. The base of the triangle is 10 meters, and the height is 5 meters. Therefore, the area of the large triangle is 0.5 x 10 x 5 = 25 square meters.
To find the area of the small triangle, we also use the formula A = 0.5 x base x height. The base of the triangle is 5 meters, and the height is 5 meters. Therefore, the area of the small triangle is 0.5 x 5 x 5 = 12.5 square meters.
Adding up the areas of the rectangle, large triangle, and small triangle gives us the total area of the garden as 50 square meters + 25 square meters + 12.5 square meters = 87.5 square meters.