Now the width is w.
It's twice as long as wide, so now the length is 2w.
If the length is increased by 4 cm, the length will be 2w + 4.
The width is decreased by 3 cm, so the width will be w - 3.
The are of the new rectangle is 100 cm^2.
area = length * width
area = (2w + 4)(w - 3)
The area of the new rectangle is 100, so we get
(2w + 4)((w - 3) = 100
2w^2 - 6w + 4w - 12 = 100
2w^2 - 2w - 112 = 0
w^2 - w - 56 = 0
(w - 8)(w + 7) = 0
w - 8 = 0 or w + 7 = 0
w = 8 or w = -7
A width cannot be negative, so discard w = -7.
w = 8
The width is 8 cm.
The length is twice the width, so the length is 16 cm.
The gcf of 36 and 48 is 12
Answer:
X
Step-by-step explanation:
because its the varible term
Answer:
π
Step-by-step explanation:
Any other irrational number, actually, so √2 would also do the trick.
Divide 6 1/3 by 3/4
first, convert 6 1/3 to an improper fraction
6 1/3 --> 19/3
make the denominators match
19/3 --> 76/12
3/4 --> 9/12
then multiply 76/12 by the reciprocal of 9/12 (which is 12/9)
cross reduce, you get 76/9
convert back to a mixed number
76/9 --> 8 4/9
it would take 9 loads
