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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 is represented by x122 Find this product b Use the polynomial in part a to find class=

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Answer:

Part a) [tex]x^{2}+24x+144[/tex]

Part b) The area of the garden is [tex]400\ units^{2}[/tex]

Step-by-step explanation:

Part a)

we know that

The area of the garden after the extension is equal to

[tex](x+12)(x+12)=(x+12)^{2}\\ \\=x^{2}+2x(12)+12^{2}\\ \\x^{2}+24x+144[/tex]

Part b) For [tex]x=8[/tex] find the area of the garden

Substitute the value of x in the polynomial

[tex]8^{2}+24(8)+144=400\ units^{2}[/tex]

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