Answer: 16cm
Step-by-step explanation:
l = 4w
2l + 2w = p
2(4w) + 2w = 40
8w + 2w = 40
10w = 40
w = 4 cm
l = 4w = 4(4) = 16cm
Answer:
See below
Step-by-step explanation:

The volume of the second prism is also ten times the volume of the first prism.
Let's assume that both prisms have:
width = 3 units
height = 4 units
Prism 1 length = 5 units
Prism 2 length = 50 units
Let's solve their respective volumes to compare...
Volume of prism 1 = length * width * height
= 5 * 3 * 4
= 60 units ^3
Volume of prism 2 = 50 * 3 * 4
= 600 units ^3
Prism 2/ prism 1 = 10
That means prism 2 is ten times the volume of prism 1.
Answer:
x=-6
Step-by-step explanation:
Let x be the number
3x = x^2 -54
Subtract 3x
3x-3x = x^2 -3x-54
0 = x^2 -3x-54
Factor
What 2 numbers multiply to -54 and add to -3
-9*6 = -54
-9+6 = -3
0=(x-9) (x+6)
Using the zero product property
x-9=0 x+6=0
x=9 x=-6
The questions asks for the negative solution
x=-6