What is the area, in square yards, of the composite shape?
5yd, 6yd, 3 yd, 9yd. Area of a rectangle = lw
To find the total area of the composite shape, we first need to find the area of the rectangle and the two triangles separately.
Area of the rectangle = length x width = 5yd x 6yd = 30 square yards
Since the two triangles are identical, we can calculate the area of one triangle using the formula for the area of a triangle, which is A = 0.5 x base x height.
Area of one triangle = 0.5 x 3yd x 9yd = 13.5 square yards
Since there are two triangles, the total area of the triangles is 13.5 square yards x 2 = 27 square yards
Now, to find the total area of the composite shape, we add the area of the rectangle and the two triangles.
Total area = area of rectangle + area of triangles
Total area = 30 square yards + 27 square yards
Total area = 57 square yards
Therefore, the area of the composite shape is 57 square yards.