Question

A rectangular has area $50{cm}^2$. Find its dimensions when its perimeter is $30cm$

Answer 1

Area is $lb=50c{m}^2$

Perimeter is $2(l+b)=30l+b=15$

Dimensions are given as $x^2-15x+50=0x^2-10x-5x+50=0x(x-10)-5(x-10)=0x=10,5$

So the length is $10cm$

The breadth is $5cm$