Question

area of this shape 24 ft 24 ft 48 ft 60 ft 60 ft 24 ft 48 ft with a square on the top left rectangle in the middle and a square in the bottom right

Answers

Answered by GPT-4o mini
To find the area of a shape defined by the dimensions you provided, we need to first visualize and break down the shape based on its components:

1. **Top Left Square**: The given dimension is 24 ft, which means this square has an area of:
\[
\text{Area of Top Left Square} = 24 \, \text{ft} \times 24 \, \text{ft} = 576 \, \text{ft}^2
\]

2. **Middle Rectangle**: The dimensions of the middle rectangle (assuming it spans vertically between the two squares, and has a width of 24 ft and a height of 48 ft) are:
\[
\text{Area of Middle Rectangle} = 24 \, \text{ft} \times 48 \, \text{ft} = 1152 \, \text{ft}^2
\]

3. **Bottom Right Square**: The bottom right square also has dimensions of 60 ft. Its area is:
\[
\text{Area of Bottom Right Square} = 60 \, \text{ft} \times 60 \, \text{ft} = 3600 \, \text{ft}^2
\]

Assuming this shape is added up in a logical sequence:
- The final step is to add the areas of all the components together:
\[
\text{Total Area} = \text{Area of Top Left Square} + \text{Area of Middle Rectangle} + \text{Area of Bottom Right Square}
\]
\[
\text{Total Area} = 576\, \text{ft}^2 + 1152\, \text{ft}^2 + 3600\, \text{ft}^2 = 5328 \, \text{ft}^2
\]

So, the total area of the given shape is **5328 square feet**.

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