It may help you to begin by drawing a picture to model this problem, labeling one side of the rectangle x+2 and the other side 2x-3 (although this step is not necessary).
1) Perimeter: The perimeter of a shape is the distance around the outside. Generally you just add up the side lengths. In the case of a rectangle, since the two lengths are the same and the two widths are the same, it...
It may help you to begin by drawing a picture to model this problem, labeling one side of the rectangle x+2 and the other side 2x-3 (although this step is not necessary).
1) Perimeter: The perimeter of a shape is the distance around the outside. Generally you just add up the side lengths. In the case of a rectangle, since the two lengths are the same and the two widths are the same, it can be shortened to the following formula:
`P=2l+2w`
All that needs to be done is to substitute the expressions given for length and width into the formula above:
`P=2(x+2)+2(2x-3)`
Then you just need to simplify the expression on the right by distributing and combining like terms:
`P=2x+4+4x-6`
`P=6x-2`
So the expression for the perimeter of the garden is 6x-2.
2) Area: The area of a shape is the amount of space inside of it (for which the formulas vary widely depending on the shape). The formula for the area of a rectangle is
`A=l*w`
Once again, you just need to substitute the given expressions for length and width:
`A=(x+2)*(2x-3)`
In order to simplify, you will need to distribute the binomials (often call the FOIL method) and combine like terms:
`A=2x^2-3x+4x-6`
`A=2x^2+x-6`
So this is the expression for the area of the garden.
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