the width of a rectangle is 6cm less than its length if a parimrter is 80 cm then its length and area are respectively?

Length = 23cm

Area = 391cm²

Step-by-step explanation:

Let L = Length and W = Width

W = L - 6

Perimeter = 2L + 2W = 80cm

2L + 2 (L-6) = 80cm

2L + 2L - 12 = 80cm

4L = 80 + 12

4L = 92

L = 92/4 = 23cm

Width W = Length L - 6

W = 23 - 6 = 17

Therefore, Area = Length x Width

Area = 23 x 17 = 391cm²

Step-by-step explanation:

Let the length be x cm

Width = x - 6 cm

Perimeter = 80 cm

2 * (length + width) = 80

2 (x + x - 6) = 80

2x - 6 = 80/2

2x - 6 = 40

2x = 40 + 6

2x = 46

x = 46/2

x = 23 cm

Length = 23 cm

Width = x - 6 = 23 - 6 = 17 cm

Area = length * width = 23 * 17 = 391 sq. cm