Answer:
<u>Applying Heron's Formula</u>
Now,
<u>Total Area: </u>
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Answer:
Step-by-step explanation:
Answer:
If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, and x is a both a real and a positive number, then the value of x must be 5.
Step-by-step explanation:
All sides of a square are equal length.
The area of a square is the side length squared.
perimeter p, side length s, area a, and variable x.
p = 28. s = ? a = x^2 + 4x + 4. x = ?
p = 28
p = 4s.
28 = 4s.
7 = s.
a = s^2.
s = 7.
a = 7^2.
a = 49.
a = x^2 + 4x + 4.
a = 49.
x^2 + 4x + 4 = 49.
factor x^2 + 4x + 4.
(x+2)(x+2) = 49.
(x+2)^2 = 49.
√ ((x+2)^2) = √49.
take positive answer.
x+2 = 7
x = 5.
X - speed of the current
40+x - speed with current
40-x - speed against current
t-time
(40+x)*t=100
(40-x)*t=60
40t+xt=100
<span> + 40t-xt = 60
</span> 80t =160
t = 2
40t+xt=100,
40*2+2x=100
80+2x=100
2x=100-80
2x=20
x=10 mi/h
10 mi/h speed of the current.