Given the length of the rectangle is 1/3 times the width. The perimeter is 24cm. What is the area of the rectangle?
+37146 l = 1/3 w
perimeter = 1/3 w + 1/3 w + w + w = 24
2 2/3 w = 24
w = 9 then l = 3 area = l * w = 27 cm2
+592 \(2(w + \frac{w}{3}) = 24\)
\(\frac{4w}{3} = 12 \)
\(4w = 36 \)
\(w = 9\)
Area = \(9 \cdot \frac{1}{3} (9) = 9 \cdot 3 = 27\)
Area = 27 cm2
