Area of composite figures (see also 5.4) Knowledge-Based Download PDF

Questions

1. 1.

   A composite figure consists of a rectangle with a width of 14 cm and a height of 9 cm, joined along its top edge to a trapezoid with parallel bases of 14 cm and 8 cm and a perpendicular height of 5 cm. What is the total area of the composite figure?

   • A) 236 cm²
   • B) 181 cm²
   • C) 166 cm²
   • D) 71 cm²
2. 2.

   An L-shaped polygon has perpendicular adjacent sides with lengths of 14 cm along the bottom, 10 cm along the left edge, 6 cm along the top edge, and 4 cm along the right edge. What is the total area of this composite figure?

   • A) 70 cm²
   • B) 84 cm²
   • C) 116 cm²
   • D) 92 cm²
3. 3.

   A composite figure consists of a square with a side length of 8 cm joined edge-to-edge with a parallelogram that shares one 8 cm side and has a corresponding perpendicular height of 5 cm. What is the total area of the composite figure?

   • A) 72 cm²
   • B) 84 cm²
   • C) 104 cm²
   • D) 128 cm²
4. 4.

   A square sheet of metal with a side length of 15 cm has a rectangular corner piece measuring 6 cm by 4 cm removed from it. What is the area of the remaining composite shape?

   • A) 99 cm²
   • B) 201 cm²
   • C) 215 cm²
   • D) 249 cm²
5. 5.

   A composite figure is formed by attaching a right triangle to the top of a rectangle. The rectangle has a base of 12 cm and a height of 8 cm, and the right triangle has perpendicular legs of lengths 12 cm and 5 cm, with the 12 cm leg aligned along the top edge of the rectangle. What is the total area of the composite figure?

   • A) $126\text{ cm}^2$
   • B) $156\text{ cm}^2$
   • C) $120\text{ cm}^2$
   • D) $66\text{ cm}^2$