Question

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.

Answer 1

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:

$p=2w+2l$ 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:

$p=2(3x+4)+2(2x-1)$

$=6x+8+4x-2$

$=10x+6$

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:

$10x+6=96$

Subtract 6 from both sides

$10x=90$

Divide both sides by 10

$x=9$

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

$\text{Length}=3x+4=3(9)+4=31$

$\text{Width}=2x-1=2(9)-1=17$

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:

$31 \times 17=527$

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!

(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Answer 2

Answer:

Padoru Deserves a brainliest

Step-by-step explanation:

So i wrote this answer so she could have one please give them a brainliest