Answer:
56 cm²
Step-by-step explanation:
The area of the composite shape is the sum of the areas of the parts. In this case, that is the sum of the areas of the central rectangle and four (4) congruent triangles.
The rectangle has dimensions 11 cm × 4 cm, so its area is ...
A = LW = (11 cm)(4 cm) = 44 cm²
Each triangle has a base of 2 cm, and a height of 2+1 = 3 cm. The area of each triangle is ...
A = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm³
The total area of the rectangle and 4 triangles is ...
area of the figure = (44 cm²) +4(3 cm²) = 56 cm²
