Dimensions 83176

If we reduce the length of the rectangle by 2 cm and the width by 1 cm, its area will decrease by 8 cm². If we increase the length of the rectangle by 1 cm and the width by 2 cm, then its content will increase by 13 cm². What were the original dimensions of the rectangle?

Correct answer:

a =  4 cm
b =  3 cm

Step-by-step explanation:

(a2) (b1)=a b8 (a+1) (b+2)=a b+13  a+2b=10 2a+b=11  Pivot:Row1Row2 2a+b=11 a+2b=10  Row221 Row1Row2 2a+b=11 1.5b=4.5  b=1.54.5=3 a=211b=2113=4=4 cm  a=4 b=3



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