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. To find the total area of the garden, we first need to split up the composite shape into simpler shapes. Let's divide the garden into a rectangle and a triangle.
The rectangle has a length of 10 meters and a width of 6 meters. The area of a rectangle is calculated by multiplying the length by the width: 10m x 6m = 60 square meters.
The triangle has a base of 6 meters and a height of 4 meters. The area of a triangle is calculated by multiplying the base by the height and dividing by 2: (6m x 4m) / 2 = 12 square meters.
Now, we can find the total area of the garden by adding the areas of the rectangle and the triangle: 60 square meters + 12 square meters = 72 square meters.
2. To find the total area of the composite shape, we divided it into a rectangle and a triangle because we can easily calculate the area of these shapes using their respective formulas. Calculating the area of each shape separately and then adding them together gives us the total area of the garden.