The hall

The hall had a rectangular ground plan, one dimension 20 m longer than the other. After rebuilding, the length of the hall declined by 5 m, and the width increased by 10 m. The floor area increased by 300 m2. What were the original dimensions of the hall?

Correct answer:

a =  50 m
b =  30 m

Step-by-step explanation:

a=20+b (a5)(b+10)=ab+300  (a5)(a20+10)=a(a20)+300  (a5) (a10)=a (a20)+300  5a=250  a=5250=50  a=50=50 m
b=a20=5020=30 m

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