Answer:
A = 2x²-3x-5
Step-by-step explanation:
Given that,
The length of the bedroom, l = (2x-5)
Width of the bedroom, b = (x+1)
We need to find an equation for the area of the bedroom. We know that,
Area of a rectangle = lb
Put all the values,
A = (2x-5)(x+1)
= 2x²+2x-5x-5
= 2x²-3x-5
Hence, the area of the bedroom is equal to 2x²-3x-5.
9514 1404 393
Answer:
- square: 12 ft sides
- octagon: 6 ft sides
Step-by-step explanation:
This problem can be worked in your head.
If the perimeters of the square and regular octagon are the same, the side length of the 4-sided square must be the same as the length of 2 sides of the 8-sided octagon. Since the side of the square is 6 ft more than the side of the octagon, each side of the octagon must be 6 ft, and each side of the square must be 12 ft.
__
We can let s represent the side length of the octagon. Then we have ...
8s = perimeter of octagon
4(s +6) = perimeter of square
These are equal, so ...
4(s +6) = 8s
s +6 = 2s . . . . . . divide by 4
6 = s . . . . . . . . . . subtract s
The octagon has 6-ft sides; the square has 12-ft sides.
4 times because if you count 10, 20, 30, 40, so it has to be 4
Answer: x = 7
Step-by-step explanation:
24 = 2x + 10
24 - 10 = 2x + 10 - 10 (Subtract 10 from both sides)
14 = 2x
14/2 = 2x/2 (Divide both sides by 2)
7 = x
x = 7