The length of a rectangle is 4 m less than the diagonal and the width is 5 m less than the diagonal. If the area is 82 m^2, how
long is the diagonal in meters? Round your answers to the nearest tenth.
1 answer:
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.
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Answer:
b)480 cm^2
Step-by-step explanation:
perimeter=(16+12+20) cm
=48 cm
lateral surface area= perimeter × height
=48×10 =480 cm^2
Answer:
I will do that buddy. I'll have fun
Answer:
The score is 66
Step-by-step explanation:
Say the unknown score is x
Average = Total score/no of occurrence
78 = (x + 76 + 74 + 76 + 80 + 83 + 91)/7
78 × 7 = x + 76 + 74 + 76 + 80 + 83 + 91
546 = x + 480
546 - 480 = x
66 = x
∴ x = 66
THE CORRECT ANSWER IS A=12 OVER X