Two patches

Peter taped the wound with two rectangular patches (one over the other to form the letter X).
The area sealed with both patches at the same time had a content of 40cm2 and a circumference of 30cm. One of the patches was 8cm wide.
What was the width of the second patch?

Correct answer:

v2 =  4 cm

Step-by-step explanation:

S=40 cm2 o=30 cm v1=8 cm  S=av1=bv2 o=2(a+b)  a=S/v1=40/8=5 cm  b=o/2a=30/25=10  v2=S/b=40/10 cm=4 cm

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