Answer: Option 1
Step-by-step explanation:
1. You know the lenght of both rectangular prism, therefore if both are similar, the scale factor is:
2. Then the scale factor of the volumes is:
3. Now, you must multiply the volume of the smalller rectangular prism by the scale factor obtained, then you obtain the following result:
L = 6 a^2 b, W = 3 a b
The area of a rectangle:
A = L x W =
= 6 a² b · 3 a b = 18 a³ b²
If he fills 5.9 bags for 18 hours, he will have filled a total of 106.2 bags
Let
x-------> the width of the rectangular area
y------> the length of the rectangular area
we know that
y=x+15------> equation 1
perimeter of a rectangle=2*[x+y]
2x+2y <= 150-------> equation 2
substitute 1 in 2
2x+2*[x+15] <=150--------> 2x+2x+30 <=150----> 4x <=150-30
4x <= 120---------> x <= 30
the width of the rectangular area is at most 30 ft
y=x+15
for x=30
y=30+15------> y=45
the length of the rectangular area is at most 45 ft
see the attached figure
the solution is<span> the shaded area</span>
