Question

The length of a rectangle is three times its width and the length of its diagonal is 6√10 cm . the perimeter of the rectangle is​

Answer 1

Answer:

Step-by-step explanation:

Let the width be x. Then length is 3x.  

Notice that when we take two sides with its diagonal we have a right triangle.  

Apply pythagorean theorem.  

x%5E2+%2B+%283x%29%5E2+=+%286%2Asqrt%2810%29%29%5E2  

x%5E2+%2B+9x%5E2+=+360  

 

10x%5E2+=+360  

x%5E2+=+36  

x=6 <---width  

Then our length is 18.  

P = 2L + 2W  

P = 2(6) + 2(18) = highlight%2848%29 cm

Answer by [email protected](151) About Me  (Show Source):

You can put this solution on YOUR website!

Let width be x then the length will be 3x  

by Pythagoras theorem,

x%5E2%2B9X%5E2=+%286sqrt%2810%29%29%5E2

10x%5E2=+360

 

x%5E2+=+36

x=6  

length = 18, Breath = 6

Perimeter = 2(18+6)

= 48 cm

Answer 2

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