PERIMETER OF RECTANGLE B1

Find the value of c in the figure below if the perimeter is 52m.

Solution

Length = c+6 and width = c-2 and Perimeter = 52m.

Perimeter = 2(length + width)

Perimeter = 2[(c+6) + (c-2)]

Perimeter = 2[c+6 + c-2]

Perimeter = 2[c+ c + 6 -2]

Perimeter = 2[2c + 4]

But perimeter is 52m.

52 = 4c + 8

52 – 8 = 4c

44 = 4c

44 = 4c

 4      4

11 = c

Hence c is 11m