Can someone please help me I don’t understand how to do it 10) A rectangular patio measures 3x+4 meters by
2x-1 metres. If the perimeter of the patio measures 96
meters. Find the area of the patio.

This problem requires multiple steps, so please read through the whole answer to get a good understanding on how to solve this problem

Step 1: Create an equation for the perimeter respect to x

The equation for the perimeter p is:

where w is the width and l is the length

The length is 3x+4 and the width is 2x-1, so substitute these values into the equation:

This is the equation for the perimeter

Step 2: Solve for x since we are given the perimeter

We are given that the perimeter is 96, thus we can create the equation:

Subtract 6 from both sides

Divide both sides by 10

We have now found the value of x

Step 3: Find the length and width now that we know x

Plug the value of x into the expressions for the length and the width that we are given

Step 4: Solve for the area now that we know the dimensions

This is probably the easiest step. Multiply the length and width to find the area:

The area of the patio is 527.

I've double- and triple-checked that this is the correct answer, so do not worry about any errors.

Let me know if you need any clarifications, thanks!

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