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Area & Perimeter of Composite Shapes (Year 9)

Free printable UK Year 9 (Key Stage 3) maths worksheet: find the area and perimeter of composite (compound) shapes built from rectangles.

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Grade 8 · Math worksheet
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Area & Perimeter of Composite Shapes

Find the area (and perimeter, where asked) of each composite shape, built from rectangles.

  1. 1.
    A composite shape is a rectangle 12 cm by 10 cm with a rectangular corner of 7 cm by 5 cm cut out. Find (a) the area, and (b) the perimeter of the shape.
  2. 2.
    A composite shape is a rectangle 19 cm by 18 cm with a rectangular corner of 7 cm by 14 cm cut out. Find (a) the area, and (b) the perimeter of the shape.
  3. 3.
    A composite shape is a rectangle 16 cm by 10 cm with a rectangular corner of 11 cm by 7 cm cut out. Find (a) the area, and (b) the perimeter of the shape.
  4. 4.
    A composite shape is a rectangle 11 cm by 13 cm with a rectangular corner of 8 cm by 11 cm cut out. Find (a) the area, and (b) the perimeter of the shape.
  5. 5.
    A composite shape is a rectangle 13 cm by 17 cm with a rectangular corner of 3 cm by 2 cm cut out. Find (a) the area, and (b) the perimeter of the shape.
  6. 6.
    A composite shape is made from 2 non-overlapping rectangles: one 12 cm by 6 cm, and the other 3 cm by 10 cm. Find the total area of the shape.
  7. 7.
    A composite shape is made from 2 non-overlapping rectangles: one 11 cm by 10 cm, and the other 10 cm by 3 cm. Find the total area of the shape.
  8. 8.
    A composite shape is made from 2 non-overlapping rectangles: one 9 cm by 8 cm, and the other 10 cm by 9 cm. Find the total area of the shape.
  9. 9.
    A composite shape is made from 2 non-overlapping rectangles: one 12 cm by 13 cm, and the other 6 cm by 7 cm. Find the total area of the shape.
  10. 10.
    A composite shape is made from 2 non-overlapping rectangles: one 6 cm by 14 cm, and the other 4 cm by 5 cm. Find the total area of the shape.
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