Tracy needs to find the length and width of the equipment storage room where she works. the room is 2 m longer than it is wide. it’s perimeter is 24 m. what is the width in meters?

Let the width be w. Therefore we can right the length as w+2=l. We know the formula for perimeter is 2w + 2l = P. We can fill this formula in to help solve this problem with the pieces we have.

2w+2(w+2)=24

2w+2w+4=24

4w=20

w=5

So, we now know the width of the room. Next, lets plug that into the perimeter equation again and solve for the length now.

2(5) + 2l = 24

10 + 2l = 24

2l = 14

l=7

So the width is 5m and the length is 7m.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: