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