Question Video: Finding the Perimeter of a Given Shape by Counting Unit Lengths | Nagwa Question Video: Finding the Perimeter of a Given Shape by Counting Unit Lengths | Nagwa

Question Video: Finding the Perimeter of a Given Shape by Counting Unit Lengths Mathematics • 3rd Grade

In the figure, determine the perimeter of the shaded part, given that the side length of every small square is a unit.

02:27

Video Transcript

In the figure below, determine the perimeter of the shaded part, given that the side length of every small square is a unit.

In the picture or the figure that we’re given, we can see a shaded shape, and it’s been drawn onto a square grid. And we’re told something about this grid. We’re told the side length of every small square is one unit. And so whatever measuring we need to do in this question, we can do the measuring in units. Now we’re asked to determine or to work out the perimeter of the shaded part. Now, what is a shape’s perimeter? Perhaps you’ve heard people talking about the perimeter fence around a field or the white lines that make up the perimeter of a sports pitch.

If you’ve heard perimeter used like this, then you’ll know that the word has got something to do with the outside of a shape. Perimeter is the word we use to describe the distance all around a shape. And so if we want to find the perimeter of the shaded part that we can see here, we’re going to need to find the distance all around it. Let’s start from this corner here. Remember, we can’t stop until we get back where we started. One, two, three, four, five, six, seven, eight, nine, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20. And then the longest side, 21, 22, 23, 24, 25, 26, 27, 28. The distance all around this shape is 28 square lengths. And because we’re told that the side length of every small square is a unit, we can say that the perimeter of this shaded part is 28 units.

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