The length of a rectangle is 4.5 times its width. The area of the rectangle is 36 square meters. What are the length and width of the rectangle?

hi <3

lets create variables for our unknowns

width = n

length = 4.5n

now lets input the information we know:

4.5n x n = 36

simplify:

4.5n^2 = 36

divide both sides by 4.5:

n^2 = 8

n = square root of 8

therefore, the width is 2.83 (to 2dp) and length is 12.73 (to 2dp)

hope this helps :)

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