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Over the course of three weeks, Nesim measured the size of a wildflower patch that is growing in his yard. In the first week, the wildflower patch measured x inches long and 0.5x inches wide. In the second week, the flower patch grew 3 inches longer and 2 inches wider. In the third week, the flower patch was double the size that it was in the second week.

Answer :

Answer:

[tex]A=2\cdot{x^2}+14\cdot{x}+24[/tex]

Step-by-step explanation:

We can write down the total size of the wildflower after the third week.

[tex]L=2\cdot{(3+x)[/tex]

[tex]W=2\cdot{(2+0.5\cdot{x})}[/tex]

The size can be determined assuming it is a rectangle and therefore the area is:

[tex]A=L\cdot{W}[/tex]

[tex]A=4\cdot{(3+x)\cdot{(2+0.5\cdot{x})}}[/tex]

[tex]A=2\cdot{x^2}+14\cdot{x}+24[/tex]

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