Perimeter of compound shapes

The Maths Habit

One ant walks once round the rectangle. Another walks once round the L shape left when the corner is cut off.
Which ant walks further?

Neither: the two edges of the cut are as long as the two they replace.

Perimeter
The distance all the way around a shape.

Find the perimeter

A rectangle 7 cm by 3 cm 20 cm

How long is the bottom?

6 cm4 cm? 10 cm

How long is the other part?

8 cm5 cm? 3 cm

5 cm9 cm6 cm3 cmab

  1. Find a. 8 cm

  2. Find b. 3 cm

Find the perimeter of the shape. 32 cm

9 cm7 cm6 cm3 cm3 cm4 cm

Find the perimeter of the shape. 34 cm

11 cm6 cm6 cm4 cm5 cm2 cm

Find the perimeter of the shape. 32 cm

9 cm7 cm6 cm3 cm3 cm4 cm

Find the perimeter of the shape. 26 cm

8 cm5 cm6 cm2 cm2 cm3 cm

Find the perimeter of the shape. 32 cm

9 cm7 cm6 cm3 cm3 cm4 cm

Find the perimeter of the shape. 38 cm

7 cm7 cm12 cm4 cm5 cm3 cm

Find the perimeter of the shape. 32 cm

9 cm7 cm6 cm3 cm3 cm4 cm

Find the perimeter of the shape. 30 cm

9 cm4 cm5 cm6 cm4 cm2 cm

Find the perimeter of the shape. 32 cm

9 cm7 cm6 cm3 cm3 cm4 cm

Find the perimeter of the shape. 36 cm

4 cm5 cm12 cm6 cm7 cm2 cm

5 cm9 cm6 cm3 cmab

  1. A rectangle is 9 cm by 4 cm. Find its perimeter. 26 cm

  2. Find the perimeter of the shape. 34 cm

  3. A square has a perimeter of 36 cm. How long is each side? 9 cm

Perimeter of compound shapes worksheet, page 1

Answer sheet

12 cm8 cm

  1. A corner is cut from a 12 cm by 8 cm rectangle. What is the perimeter of the L-shape? 40 cm

  2. Two squares with 5 cm sides are joined along a full side.
    Find the perimeter of the new shape. 30 cm

  1. Find the length a.

    a = 6 cm
    13 cm4 cma8 cm10 cm

  2. Find the perimeter of the shape in question 1.

    46 cm

  3. Find the perimeter of the shape.

    40 cm
    12 cm5 cm6 cm2 cm3 cm
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