Answer:
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Step-by-step explanation:
we know that
The area of the rectangle (movie screen) is equal to
where
L is the length
W is the width
we have
so
----> equation A
The screen is 20 feet longer than it is wide.
so
---> equation B
substitute equation B in equation A
solve for W
solve the quadratic equation by graphing
the solution is W=82 ft
see the attached figure
Find the value of L
therefore
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Answer:
60 x 100
Step-by-step explanation:
Since the formula for area of a rectangle is length × width, multiplying the sides will get you the area.
CREDIT TO nilbert
1. The correct answer should be A
2. The answer should be C
3. I think the answer is D
4. The answer should be D
Hope this helps :)
Answer:
Step-by-step explanation:
<u>The side of the square is w/2, then its area is:</u>
<u>The shaded area is the difference of areas of the rectangle and the square:</u>
<u>This can be simplified:</u>
- 56w - w² = 336
- w² - 56w + 336 = 0
Answer:
- large: 18.5 kg
- small: 15.75 kg
Step-by-step explanation:
Let b and s represent the weights of the big and small boxes, respectively. Then the two delivered weights can be summarized as ...
5b +6s = 187
3b +2s = 87
We can eliminate the "s" variable by subtracting the first equation from 3 times the second:
3(3b +2s) -(5b +6s) = 3(87) -(187)
4b = 74 . . . . . collect terms
b = 18.5 . . . . . divide by 4
Using this value in the second equation, we find ...
3(18.5) +2s = 87
2s = 31.5 . . . . . . . . subtract 55.5
s = 15.75 . . . . . . . . divide by 2
The large box weighs 18.5 kg; the small box weighs 15.75 kg.
