Answer:
- 525 = (w+4)(w)
- 21 ft by 25 ft
Step-by-step explanation:
Let w represent the width of the floor. Then the length of the floor is (w+4) and its area is ...
A = LW
525 = (w+4)(w)
w^2 +4w -525 = 0
(w -21)(w +25) = 0 . . . . factor the above
Solutions are ...
w = 21, w = -25
We are interested in the positive solution: w = 21.
The floor is 21 feet wide and 25 feet long.
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<em>Alternate solution</em>
Sometimes, when the factors aren't obvious, it works well to write an equation for the average of the dimensions. Here, we can represent that with x, and use (x-2) for the width, and (x+2) for the length. Then we have ...
525 = (x-2)(x+2) = x^2 -4
529 = x^2
√529 = 23 = x
Then w=23 -2 = 21, and the length is w+4 = 25.
Answer:
58 in
Step-by-step explanation:
38 divided by 19 = 2
20 divided by 2 = 10
19 x 2 = 38
10 x 2 =20
38 + 20 = 58
Answer:
$5122.04
Step-by-step explanation:
Continous interest formula:
=A
we have
Which rounds to
5122.04
Answer:
A
Step-by-step explanation:
Rate of change is another term for slope
HTH :)
Answer:
Assuming that (3x - 3) and 6 are the sides of the rectangle,
Area:
A = l × w
y = (3x - 3) × (6)
y = 18x - 18
Perimeter:
P = 2l + 2w
y = 2(3x - 3) + 2(6)
y = 6x - 6 + 12
y = 6x + 6