Rectangle - sides 3

If in the rectangle ABCD, we enlarge side a by 5 cm and decrease side b by 2 cm, the rectangle area will be reduced by 5 cm². When we decrease the length of side a by 4 cm, and at the same time we increase the length of side b by 3 cm, we increase the area of the original rectangle by 5 cm². Calculate the length of the sides of the rectangle ABCD.

Correct answer:

a =  15 cm
b =  7 cm

Step-by-step explanation:

(a+5) (b2)=a b5 (a4) (b+3)=a b+5  2a5b=5 3a4b=17  Pivot:Row1Row2 3a4b=17 2a5b=5  Row232 Row1Row2 3a4b=17 2.33b=16.33  b=2.3333333316.33333333=7 a=317+4b=317+4 7=15=15 cm  a=15 b=7

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