Answer:
1) 651.5 cm²
2) 462 cm²
3) 99 ft²
4) 1540.8 yd²
Step-by-step explanation:
1) Area of the trapezoid: (12 + 7)/2 * 6.5 = 61.75 cm²
Area of the lateral rectangles: 7*16 = 112 cm²
Area of the top rectangle: 12*16 = 192 cm²
Area of the bottom rectangle: 7*16 = 112 cm²
Area of the figure: 192 + 112 + 2*61.75 + 2*112 = 651.5 cm²
2) Area of the top and bottom squares: 11*11 = 121 cm²
Area of the lateral rectangles: 11*5 = 55 cm²
Area of the figure: 4*55 + 2*121 = 462 cm²
3) Area of the trapezoid: (3 + 7)/2 * 3.5 = 17.5 ft²
Area of the lateral rectangles: 4*4 = 16 ft²
Area of the top rectangle: 7*4 = 28 ft²
Area of the bottom rectangle: 3*4 = 12 ft²
Area of the figure: 28 + 12 + 2*17.5 + 2*12 = 99 ft²
4) Area of the lateral rectangles: 11*12 = 132 yd²
Area of the top and bottom hexagons: 3*12*10.4 = 374.4 yd²
Area of the figure: 6*132 + 2*374.4 = 1540.8 yd²
