Math problem that i'm stuck on

Question

The length of a rectangle is six times its width. The area of the rectangle is 384 square centimeters. Find the dimensions of the rectangle.

Answer 1

Given L = 6W

Area = 384 = L x W = W x 6W

384 = 6W²

Divide both sides by 6

384/6 = W²

64 = W²

√64 = W

8 = W

6(8) = 48 = L

So dimensions are Width = 8 cm and the Length is 48 cm

Checking

8 x 48 = 384 = Area

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