Question

Each dimension of a rectangular family room is 3.5 times larger than the rectangular bedroom. if it costs $312 to carpet the bedroom, how much would cost to carpet the family room with the same carpet?

Answer 1

So,

I'm assuming that this is a simple multiplication problem.

All we have to do (I'm assuming) is multiply 312 by 3.5.
312 * 3.5 = $1092

It will cost $1092 to carpet the family room with the same carpet.

Answer 2

$3822

Explanation:

We are given that Each dimension of a rectangular family room is 3.5 times larger than the rectangular bedroom.

So, length of a rectangular family room must be 3.5 times larger than rectangular bedroom.

And Breadth of a rectangular family room must be 3.5 times larger than rectangular bedroom.

So, area of rectangular family room must be larger than rectangular bedroom by
`3.5^2 =12.25` times

So, Area of rectangular family room must be 12.25 times larger than rectangular bedroom

Now cost of carpet for bedroom = $312

So, cost of same carpet for family room =
`312 * 12.25`

=
`3822`

Hence the cost to carpet the family room is $3822.