Video: Finding the Area of a Plane Figure Using Whole- and Half-square Units

Each square is 1 square unit. Each half-square is 1/2 a square unit. Find the area of the shape.

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Video Transcript

Each square is one square unit. Each half square is half a square unit. Find the area of the shape.

To do so, we need to simply look at the shape and determine how many squares are there and how many half squares are there and then take the areas and add them all together.

So here we have a full square, so that is one square unit. Here’s another square, and it’s one square unit, so now we have two square units for the area. Here’s another square, so we have three square units now. This square makes four square units, and this square makes five square units. So we have five squares.

Now let’s count all the half squares. Here we have a half square, so now we’re up to five and a half square units. Here’s another half square, so now we’re up to six square units. Now we’re at six and a half square units, seven, seven and a half, eight, eight and a half square units.

So we had five full squares and then seven half squares, making the area be eight and a half square units. Therefore, the final area of this shape will be eight and a half square units.

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