Part A:
The total area = x² + 12x + 20 = (x+2)(x+10)
<span>The width = x+2
∴ Length = area / width = </span>[ <span>(x+2)(x+10) ] / (x+2) = x+10
Part B: </span>
<span>A 2-foot walkway is built around the fountain
</span>
<span>∴ The width = (x+2) + 2 + 2 = x + 6
The length = (x+10) + 2 + 2 = x +14
Part C:
</span><span>the total area covered by the fountain and walkway.
</span><span>
= (x+6)(x+14)
= x² + 20 x + 84
See the attache figure for more explanation
</span>
Answer:

Step-by-step explanation:
Consider triangle ACD. This triangle is isosceles triangle, because AD = DC. Angles adjacent to the base AC are congruent abgles, so

The sum of the measures of all interiror angles in the triangle is always
then

Angles ADC and BDC are supplementary angles (add up to
), then

Consider triangle BCD. This triangle is isosceles triangle because BC = DC. Angles adjacent to the base BD are congruent abgles, so

The sum of the measures of all interiror angles in the triangle is always
then

Answer:
52 ft²
Step-by-step explanation:
Given :
Dimension : 2 by 3 by 4
Surface area of a rectangular prism :
2(wl + lh + wh)
Length = l
Width = w
Height = h
Surface Area = 2[(2*3)+(2*4)+(4*3)]
Surfave Area = 2[6+8+12]
Surface Area = 2(26)
Surface Area = 52 ft²
For this case what we must do is to use the formula of the resolvent in the following way:
x = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a)
Where,
a = 1
b = -4
c = -38
Substituting the values:
x = (- (- 4) +/- root ((- 4) ^ 2 - 4 * 1 * (- 38))) / (2 * 1)
x = (4 +/- root (168)) / 2
x = (2 +/- root (42))
Answer:
x = 2 +/- squareroot 42
2000 should be it I'm pretty sure