Question

11. A rectangle's length is 5 cm less than twice
its width. If the length is decreased by 6 cm
and width is increased by 2 cm; the permeter
of the resulting rectangle will be 74 cm. Find
the length and the width of the original
rectangle
on numbers​

Answer 1

Answer:

P = 2(l + b)

l = 2b - 5 cm

Given, [(2b-5-6)+ b +2] = 74

2b -11 + b + 2 = 74

3b -9 = 74

3b = 83

b = 27.666666667

B = 27.7 cm

l = 2b - 5 = 2*27.7 -5

L = 50.4 cm