Perimeter of Composite Shapes

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Question 1 of 3

1. Question
Find the perimeter of this shape.
- (40)cm
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The Perimeter of a shape is the sum of all the side lengths.

First, find the missing lengths. Note that since the corners are right angles, vertical lines are parallel and horizontal lines are parallel.

First missing side:

Subtract the $2$ $2$ sides parallel to the first missing side.

Second missing side:

Subtract the $2$ $2$ sides parallel to the second missing side.

Now that we know all the side lengths, add them all to find the perimeter.

Perimeter $=$ $=$ $5 + 5 + 12 + 8 + 7 + 3$ $5+5+12+8+7+3$

$=$ $=$ $40$ $40$ cm

$40$ $40$ cm

Question 2 of 3

Find the perimeter of this shape.

(62)m

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The Perimeter of a shape is the sum of all the side lengths.

First, find the missing lengths. Note that since the corners are right angles, vertical lines are parallel and horizontal lines are parallel.

Sides with line markers:

The line markers indicate equal sides.

Last missing side:

Add the $3$ $3$ sides parallel to the last missing side.

Now that we know all the side lengths, add them all to find the perimeter.

Perimeter	$=$ $=$	$5 + 11 + 5 + 5 + 15 + 5 + 5 + 11$ $5+11+5+5+15+5+5+11$
	$=$ $=$	$(5 + 5 + 5 + 5 + 5) + 15 + (11 + 11)$ $(5+5+5+5+5)+15+(11+11)$	Add same numbers first
	$=$ $=$	$25 + 15 + 22$ $25+15+22$
	$=$ $=$	$62$ $62$ m

62

$62$ m

Question 3 of 3

3. Question
Find the perimeter of this shape.
- (34)cm
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The Perimeter of a shape is the sum of all the side lengths.

First, find the missing lengths.

The line markers indicate equal sides.

Now that we know all the side lengths, add them all to find the perimeter.

Perimeter $=$ $=$ $7 + 7 + 10 + 10$ $7+7+10+10$

$=$ $=$ $34$ $34$ cm

$34$ $34$ cm

Perimeter of Composite Shapes

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1. Question

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2. Question

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3. Question

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Perimeter	$=$ $=$	$5 + 5 + 12 + 8 + 7 + 3$ $5+5+12+8+7+3$
	$=$ $=$	$40$ $40$ cm

Perimeter	$=$ $=$	$7 + 7 + 10 + 10$ $7+7+10+10$
	$=$ $=$	$34$ $34$ cm