Question

which figure has a greater perimeter? 37 cm 94 cm 94 cm 37 cm 69 cm 66 cm 66 cm 69 cm

Explanation:

Step1: Calculate the perimeter of the purple rectangle

The formula for the perimeter of a rectangle is \(P = 2\times(l + w)\), where \(l = 94\) cm and \(w = 37\) cm.
\(P_{purple}=2\times(94 + 37)=2\times131 = 262\) cm.

Step2: Calculate the perimeter of the blue rectangle

The formula for the perimeter of a rectangle is \(P = 2\times(l + w)\), where \(l = 69\) cm and \(w = 66\) cm.
\(P_{blue}=2\times(69+66)=2\times135 = 270\) cm.

Step3: Compare the perimeters

Since \(262<270\), the blue rectangle has a greater perimeter.

Answer:

The purple rectangle has a greater perimeter.