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bobbyrod4522
14.10.2019 •
Mathematics
What are the side lengths of a rectangle if the area = 40 in and the perimeter= 26 in
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Ответ:
So, we need to figure out a value for l and a value for w so that 2l+2w=26, and l*w=40. Let's start with l. If l=1, then the equation is (2*1)+2w=26. 2*1=2, so 2+2w=26. Subtract 2 from both sides: 2w=24. Divide by 2 on both sides: w=12. So let's see if this works, where l=1 and w=12. 1*12=12. 12 is not equal to 40, so that doesn't work.
What about l=2? We can solve this in a similar way. (2*2)+2w=26. 4+2w=26. 2w=22. w=11. Does this work? l*w=2*11=22. 22 does not equal 40.
For l=3: (2*3)+2w=26. 6+2w=26. 2w=20. w=10. 3*10=30, not 40. This isn't right either. However, do you see a pattern? Every time you add one to l, w goes down by 1. This is because perimeter is a sum!
So if l=4, then w=9. 4*9=36, which does not equal 40. But we're getting closer!
If l=5, then w=8. 5*8=40!! So, our length is 5 inches, and the width is 8 inches. There's your answer!
5 inches and 8 inches
Ответ:
5/8
Step-by-step explanation:
There are two numbers from one to eight that are less than three (1 and 2). So 2/8 of the numbered sections are less than three.
There are three numbers from one to eight that are greater than five (6, 7, and 8). So 3/8 of the numbered sections are greater than five
Probability of getting a number less than three: 2/8
Probability of getting a number greater than five: 3/8
Probability of getting either in a single spin = 2/8 + 3/8 = 5/8