Diagrams of four rectangles with labeled dimensions.

Four labeled rectangles with dimensions: Figure 1 (8x3), Figure 2 (5x4), Figure 3 (6x5), Figure 4 (5x3).

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Show Answer Key & Explanations Step-by-step solution for: Rectangles with Same Area but Different Perimeters and Same ...

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To find the total area of all four figures, we need to calculate the area of each rectangle individually and then add them together.

The formula for the area of a rectangle is:
Area = Length × Width

Let's calculate the area for each figure step by step:

1. Figure 1:
* Length = 8
* Width = 3
* Area = $8 \times 3 = 24$

2. Figure 2:
* Length = 5
* Width = 4
* Area = $5 \times 4 = 20$

3. Figure 3:
* Length = 6
* Width = 5
* Area = $6 \times 5 = 30$

4. Figure 4:
* Length = 5
* Width = 3
* Area = $5 \times 3 = 15$

Now, we add all the areas together to get the total:
$$Total Area = 24 + 20 + 30 + 15$$

* $24 + 20 = 44$
* $44 + 30 = 74$
* $74 + 15 = 89$

The total area is 89.

Final Answer:
89

Parent Tip: Review the logic above to help your child master the concept of same perimeter different area worksheet.

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