WEBVTT
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Here is a shape.
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The shape is made from one large square and eight identical small squares.
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The area of the whole shape is 108 centimeters squared.
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Calculate the area of the large square.
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We are told that the shape which is made from one large square and eight small identical squares has a total area of 108 centimeters squared.
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In order to find the area of the largest square then, letâ€™s begin by splitting the shape up.
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Here is the large square.
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We can see that we can split this large square up into four smaller squares.
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And we can also see that each of these squares is the same size as the other eight identical squares.
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We can, therefore, count the total number of small squares that make up this shape.
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There are a total of 12 small squares that make up this shape.
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These 12 small squares then have a combined area of 108 centimeters squared.
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In order to find the area of one small square then, we can divide through by 12.
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108 divided by 12 is nine.
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So each of the smaller squares has an area of nine centimeters squared.
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We said that the largest square is made up of four of the smaller squares.
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We can, therefore, find the area of the large square by multiplying nine by four.
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Nine multiplied by four is 36.
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So the area of the large square is 36 centimeters squared.