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goldfiish [28.3K]
2 years ago
4

Five identical rectangles are arranged to form a larger rectangle $pqrs$, as shown. the area of $pqrs$ is $4000$. what is the le

ngth, $x$, rounded off to the nearest integer?
Business
1 answer:
Agata [3.3K]2 years ago
5 0
<span>Let x be length and y be width
 from figure
 2x = 3y ...(1)
 area = (x+y)(2x) ...(2)
 from equation 1 we get
 y=2x/3
 putting this value in equation 2
 (x+2/3x)(2x)= area
 now given area=4000
 (x+2/3x)(2x)= 4000
 solving
 x^2 (10/3) = 4000
  x^2 = 1200
  x=1200^(1/2)
  x=34.64
 x=35cm</span>
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