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# area problem

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Willy is creating a garden. This is the diagram of Willy's garden. What is the area of the garden he is going to build?

Mar 3, 2021

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We can solve this by subtracting the area of the driveway from the entire rectangle

The area of a rectangle is \(lw\), so multiplying 14 by 32, we get 448

Now we need to find the area of the driveway. We can split up the driveway into 2 rectangles, one big rectangle at the left and a tiny rectangle in the upper right.

To find the area of the big rectangle in the driveway, we multiply 10 by 20, getting 200.

To find the area of the tiny rectangle in the driveway, we subtract 20 from 26 to find the length, which is 6.

Now we need to find the width of the tiny rectangle. We can do this by subtracting 7 from 10, getting 3.

Multiplying 6 by 3, we get 18, so the area of the tiny rectangle is 18.

Adding 200 to 18, we get 218, so the area of the driveway is 218 ft squared.

Now we need to subtract 218 from 448.

448-218=230

So the answer is 230 ft squared

Correct me if I'm wrong!

Mar 3, 2021