Respuesta :

Answer:

x=16.5(or 17)

Step-by-step explanation:

2(x)+2(x-4)=58

2x+2x-8=58

4x-8=58

4x=66

x=16.5(if rounded to the nearest whole number will be 17)

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Answer: x = 16.5

Step-by-Step Explanation:

Length (l) = (x) cm
Breadth (b) = (x - 4) cm
Perimeter = 2(l + b) = 58 cm

Substituting values of ‘l’ and ‘b’ :-

=> 2(l + b) = 58
= 2(x + x - 4) = 58
= 2(2x - 4) = 58
= 4x - 8 = 58
= 4x = 58 + 8 = 66
=> x = 66/4 = 16.5

Therefore, x = 16.5

Finding ‘l’ and ‘b’ :-

l = x
=> l = 16.5 cm

b = x - 4
b = 16.5 - 4
=> b = 12.5 cm

Length (l) = 16.5 cm
Breadth (b) = 12.5 cm