Question

which figure has a greater perimeter? 75 mm 22 mm 22 mm 75 mm 44 mm 93 mm 93 mm 44 mm

Explanation:

Step1: Calculate the perimeter of the first rectangle

The formula for the perimeter of a rectangle is \(P = 2\times (l + w)\). For the first rectangle with \(l = 75\space mm\) and \(w=22\space mm\), \(P_1=2\times(75 + 22)=2\times97 = 194\space mm\)

Step2: Calculate the perimeter of the second rectangle

For the second rectangle with \(l = 93\space mm\) and \(w = 44\space mm\), \(P_2=2\times(93+44)=2\times137=274\space mm\)

Step3: Compare the perimeters

Since \(194<274\)

Answer:

The second figure (the taller rectangle with length \(93\space mm\) and width \(44\space mm\)) has a greater perimeter.