I hate rounding.
Let's call the diagonal x. It's the hypotenuse of the right triangle whose legs are the rectangle sides.
According to the problem we have a length x-4 and a width x-5 and an area
82 = (x-4)(x-5)
82 = x^2 - 9x + 20
0 = x^2 - 9x - 62
That one doesn't seem to factor so we go to the quadratic formula

Only the positive value makes any sense for this problem, so we conclude

That's the exact answer. Did I mention I hate rounding? That's about
x = 13.6 meters
Answer: 13.6
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It's not clear to me this problem is consistent. By the Pythagorean Theorem the diagonal satisfies

which works out to

That's not consistent with the first answer; this problem really has no solution. Tell your teacher to get better material.
measure of angle CED is 80
What you can do is split one of the binomials and then apply the distributive property if f(x) = (x + 3)(x -2) split the 1st binomial f(x) = x(x -2) + 3(x -2) now apply the distributive property to get
f(x)=x2−2x+3x−6
which simplifies to
f(x)=x2+x−6
Answer:
multiply 343 by 2 and then divide that number by 3. the answer is 228.666666666
Answer:
Temperature after 12 hours = 25°C
Step-by-step explanation:
Given:
Current tempreture = -23°C
Tempreture incresing rate = 4°C per hour
Total time = 12 hour
Find:
Temperature after 12 hours
Computation:
Temperature after 12 hours = Current tempreture + (Tempreture incresing rate)(Total time)
Temperature after 12 hours = -23 + (4)(12)
Temperature after 12 hours = -23 + 48
Temperature after 12 hours = 25°C