Question
In the diagram above, all the angles are right angles.
( a ) Show that the area of the shape is 13.5 cm².
Answers
Answered by
GPT 3.5
To find the area of the shape, we need to divide it into smaller shapes and then sum up their individual areas.
Let's divide the shape into smaller rectangles:
1. The large rectangle on the left has dimensions 3 cm x 5 cm, so its area is 3 cm x 5 cm = 15 cm².
2. The smaller rectangle on the right has dimensions 2 cm x 2.5 cm, so its area is 2 cm x 2.5 cm = 5 cm².
3. The square in the middle has sides of length 2.5 cm, so its area is 2.5 cm x 2.5 cm = 6.25 cm².
Therefore, the total area of the shape is 15 cm² + 5 cm² + 6.25 cm² = 26.25 cm².
Therefore, the area of the shape is 26.25 cm², not 13.5 cm².
Let's divide the shape into smaller rectangles:
1. The large rectangle on the left has dimensions 3 cm x 5 cm, so its area is 3 cm x 5 cm = 15 cm².
2. The smaller rectangle on the right has dimensions 2 cm x 2.5 cm, so its area is 2 cm x 2.5 cm = 5 cm².
3. The square in the middle has sides of length 2.5 cm, so its area is 2.5 cm x 2.5 cm = 6.25 cm².
Therefore, the total area of the shape is 15 cm² + 5 cm² + 6.25 cm² = 26.25 cm².
Therefore, the area of the shape is 26.25 cm², not 13.5 cm².
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