Question

Please help! Please show all work! Thx!

Answer 1

Answer:

Part A)

$86=2(x+22)$

Part B)

$l=26\text{ cm}$

Step-by-step explanation:

We know that the rectangle has a length of (x+5) and a width of 12 cm.

Part A)

Remember the formula for the perimeter of a rectangle:

$P=2(l+w)$

We know that the perimeter is 86. Substitute that for P:

$86=2(l+w)$

Substitute (x+5) for the length l and 17 for w. So:

$86=2((x+5)+17)$

We can simplify this to acquire our equation:

$86=2(x+22)$

Part B)

To find the length, let's find our x first. We have the equation:

$86=2(x+22)$

Divide both sides by 2:

$43=x+22$

Now, subtract 22 from both sides. Therefore, our x is:

$x=21$

To find the length, remember that the length is:

$l=x+5$

Since we now know the value of x, substitute 21 for x:

$l=21+5$

Add:

$l=26\text{ cm}$

So, the length is 26 centimeters.

And we're done!