Answer:
55m^2
Step-by-step explanation:
The area of a rectangle is l x w (width x height)
We know that the length (l) of the rectangle is 6m longer than its width (w), then:
(1) l = w + 6
We also know that the perimeter of the rectangle is 32m, so:
(2) 2l + 2w = 32
Now substitute the value of l in (1) for l in (2):
2(w + 6) + 2w = 32
Distribute:
2w + 12 + 2w = 32
Combine like terms and subtract 12 from both sides:
4w = 20
Divide both sides by 4:
w = 20/4 = 5 (so the width is 5m)
Find the length (use (1)):
l = 5 + 6 = 11m (length of rectangle)
Then, the area is:
A = l x w = 5 x 11 = 55m^2
Its 2/3 because after finding the lcd you find its the same number in the question
Answer:
3rd number = 30
2nd number = 7
1st number = 15
Step-by-step explanation:
(T) total of three numbers = 52
let 3rd number = 2 x
let 2nd number = x - 8
let 1st number = x
T = 1st + 2nd + 3rd
52 = 2x + (x - 8) + x
52 + 8 = 4x
60 = 4x
x = 60 / 4
x = 15
therefore,
let 3rd number = 2 (15) = 30
let 2nd number = 15 - 8 = 7
let 1st number = 15
Answer:
2: 45 3: 45 4: 135 5: 135 6: 45 7: 45
Step-by-step explanation:
they are vertical angles meaning they will mirror each other, subract 135 from 180 and you will get the other angle
