To find the area of the composite shape made of two rectangles, we need to clarify the dimensions provided.
-
Identify the dimensions for the larger rectangle:
- Length = 6 yards
- Width = 5 yards
-
Calculate the area of the larger rectangle: \[ \text{Area}_{\text{larger}} = \text{length} \times \text{width} = 6 , \text{yd} \times 5 , \text{yd} = 30 , \text{yd}^2 \]
-
Identify the dimensions for the smaller rectangle:
- Length = 3 yards
- Width of the whole shape = 9 yards (the width of the smaller rectangle is unknown and implies the overall height must incorporate the smaller rectangle).
-
Width of the smaller rectangle: Since the width of the whole shape is 9 yards and the width of the larger rectangle is 5 yards, the width of the smaller rectangle can be calculated as: \[ \text{Width}_{\text{smaller}} = 9 , \text{yd} - 5, \text{yd} = 4 , \text{yd} \]
-
Calculate the area of the smaller rectangle: \[ \text{Area}_{\text{smaller}} = \text{length} \times \text{width} = 3 , \text{yd} \times 4 , \text{yd} = 12 , \text{yd}^2 \]
-
Total area of the composite shape: \[ \text{Area}{\text{total}} = \text{Area}{\text{larger}} + \text{Area}_{\text{smaller}} = 30 , \text{yd}^2 + 12 , \text{yd}^2 = 42 , \text{yd}^2 \]
Thus, the area of the composite shape is:
\[ \text{Final Answer: } 42 \]