Answer: the length is 24m
The width is 6 m
Step-by-step explanation:
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the given rectangle is 60 meters. This means that
2(L + W) = 60
Dividing through by 2, it becomes
L + W = 60 /2
L + W = 30 - - - - - - - - - - - - - -1
The rectangular room is 4 times as long as it is wide. This means that
L = 4W
Substituting L = 4W into equation 1, it becomes
4W + W = 30
5W = 30
W = 30/5
W = 6
L = 4 × 6
L = 24
First you add like terms which means you add all the x's together and all the constants.
3x -5 =55 (Remember that 8 has a negative sign in front which brings that sign with it when combinding like terms)
Then you isolate the variable by adding 5 on both sides.
3x = 60.
Finally you divide by 3 on both sides to get x=20
V=(7*6)/2 *8 the third option
you multiply the height with the base of the triangle and you get the area of the base of the prism so you multiply it with the height of the prism to get the volume
Not enough information. The question doesn't say how much one quart of paint covers.
EDIT: here's the solution
we have to find the total area of the 4 walls and subtract the area of the door. there are 2 walls with dimensions 16 by 10, and 2 walls with dimensions 16 by 12. so we have: 2(16*10)+2(16*12)=320+384=704 for the area of the walls. now, we can find the area of the door which is 3*8=24. <span>so we subtract the area of the door from the area of the walls, so we have: 704-24=680. </span><span>Since a quart of paint covers 100, then we divide and get 680/100=6.8 but since we need a whole number of quarts, we round up to get 7 quarts of paint. </span>
Complete the square since can't factor
2/2=1
add 1 to both sides
x²+2x+1-6=1
factor perfect square
(x+1)²-6=1
add 6 to both sides
(x+1)²=7
sqrt both sides
x+1=+/-√7
minus 1 both sides
x=-1+/-√7
so x=-1+√7 or x=-1-√7
