Question

You are buying a carpet for a rectangular room. The carpet can be at most 12 m lone and 6 m wide. Which inequality represents the area of the carpet is square metres?

• A. $A\le 36$
• B. $A\ge 36$
• C. $A\le 72$
• D. $A\ge 72$

Answer 1

The correct option is C $A\le 72$

Let l be the length of the carpet and b be the breadth.
It is given that
$l\le 12m$
$b\le 6m$
Area=A
$=l\times b$
Hence maximum area is achieved when $l=12cm$ and $b=6cm$
Hence
$A_{max}=l\times b$
$=72m^2$
Hence
$A\le 72m^2$