Question

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

Answer 1

Length = 23cm

Area = 391cm²

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

Answer 2

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