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A garden is extended on both sides. a. The area of the garden after the extension is represented by (x+12)^2. Find this product. b. Use the polynomial in part (a) to find the area of the garden when x=8. What is the area of the garden?

A garden is extended on both sides. a. The area of the garden after the extension-example-1
User Syduki
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1 Answer

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Answer:

Part a)
x^(2)+24x+144

Part b) The area of the garden is
400\ units^(2)

Explanation:

Part a)

we know that

The area of the garden after the extension is equal to


(x+12)(x+12)=(x+12)^(2)\\ \\=x^(2)+2x(12)+12^(2)\\ \\x^(2)+24x+144

Part b) For
x=8 find the area of the garden

Substitute the value of x in the polynomial


8^(2)+24(8)+144=400\ units^(2)

User Kamden
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