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Question Video: Finding the Area of a Plane Figure by Counting Square Units Mathematics • 3rd Grade

Daniel made a shape with square units. Find the area.

01:58

Video Transcript

Daniel made this shape with square units. Find the area.

To begin with in this question, we’re told that Daniel’s made a shape out of square units. And we’re shown a picture of the shape that he’s made. It’s this six-sided shape or hexagon here. If we turn our heads to look at it, we could even describe it as being a little bit like an L shape. And most importantly, this diagram shows us the square units that Daniel’s made his shape out of. Now, the question asks us to find the area of this shape. We know that the area of a shape is a measure of the space inside it. So this question is really saying to us Daniel has made a shape out of square units. How much space is inside of it?

Now, to measure the area of Daniel’s L-shaped hexagon, we’re going to need to use units that are all the same size. They’re going to need to fit together with no gaps, and they’re going to need to cover all of the space. But wait a moment. Because Daniel has made his shape out of square units, can’t we just count those square units? They’re all the same size, they will fit together, and there are no gaps. They completely cover the space inside the shape, don’t they? Let’s count how many there are. One, two, three, four, five, six, seven, eight, nine, 10, 11, 12, 13, 14, 15, 16, 17. Daniel used 17 square units to make his shape. And so we can measure the space inside his shape or its area by counting these square units. The area of Daniel’s shape is 17 square units.

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