Question

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 1

`A=2\cdot{x^2}+14\cdot{x}+24`

Explanation:

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

`L=2\cdot{(3+x)`

`W=2\cdot{(2+0.5\cdot{x})}`

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

`A=L\cdot{W}`

`A=4\cdot{(3+x)\cdot{(2+0.5\cdot{x})}}`

`A=2\cdot{x^2}+14\cdot{x}+24`