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lilavasa [31]
4 years ago
13

The length of a rectangle is twice its width.

Mathematics
1 answer:
Furkat [3]4 years ago
7 0
The perimeter is the sum of all a shapes sides.

so if length is two times the width, you could write it as 2w.

2w + 2w + w + w = 42. Simplified, it's 6w = 42.
Divide both sides by 6, and you get w = 7.

Since the length is 2w, 2 * 7 = 14, so the length is 14

Area of rectangle is length * width, so do 14 * 7 which is 98. Slap on some units and your answer is 98 sq m
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If p q r is prime numbers such that pq+r=73, what is the least possible value of p+q+r
Jobisdone [24]
The answer to this question would be: p+q+r = 2 + 17 + 39= 58

In this question, p q r is a prime number. Most of the prime number is an odd number. If p q r all odd number, it wouldn't be possible to get 73 since
odd x odd + odd= odd + odd = even
Since 73 is an odd number, it is clear that one of the p q r needs to be an even number. 

There is only one odd prime number which is 2. If you put 2 in the r the result would be:
pq+2= 73
pq= 71
There will be no solution for pq since 71 is prime number. That mean 2 must be either p or q. Let say that 2 is p, then the equation would be: 2q + r= 73

The least possible value of p+q+r would be achieved by founding the highest q since its coefficient is 2 times r. Maximum q would be 73/2= 36.5 so you can try backward from that. Since q= 31, q=29, q=23 and q=19 wouldn't result in a prime number r, the least result would be q=17
r= 73-2q
r= 73- 2(17)
r= 73-34=39

p+q+r = 2 + 17 + 39= 58
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3 years ago
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Kruka [31]
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