Answer:
176 square yards
Step-by-step explanation:
<u><em>The picture of the question in the attached figure N 1</em></u>
we know that
The area of the walkway around the rectangular pool, is equal to the area of two trapezoids (#1 and #2), plus the area of two smaller rectangles (#3 and #4)
see the attached figure N 2 to better understand the problem
step 1
Find the area of the two trapezoids (#1 and #2)
![A=2[\frac{1}{2}(b_1+b_2)h]](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%28b_1%2Bb_2%29h%5D)
simplify

we have

substitute

step 2
Find the area of the two smaller rectangles (#3 and #4)
![A=2[LW]](https://tex.z-dn.net/?f=A%3D2%5BLW%5D)
we have

substitute
![A=2[(4)(6)]=48\ yd^2](https://tex.z-dn.net/?f=A%3D2%5B%284%29%286%29%5D%3D48%5C%20yd%5E2)
step 3
Find the area of the walkway around the rectangular pool

Answer: 492 miles
Step-by-step explanation:
The first thing to do in such a question is to find out the number of miles Violet can go on 1 gallon.
That figure is:
= 369 / 12
= 30.75 miles per gallon
With 16 gallons therefore, she can go:
= 16 * 30.75
= 492 miles
Equation stated is graphed below
5^(x+3)=25^(x-2)
Apply the exponent rule ( 5 ^2 = 25, so remove the 5 and replace 25?with 2)
x + 3 = 2(x-2)
Simplify:
X + 3 = 2x -4
Add 4 to both sides:
X + 7 = 2x
Subtract x from both sides
X = 7
Answer: x = 7