# A rectangular room has coordinates Q(2, 2), R (7, 2), S(7, 5), and T(2, 5) on the blueprint. The homeowner wants this room to be 25% larger. What are the coordinates of the new room?

##### 1 Answer

Jun 6, 2018

A few ambiguities in this problem. Clearly we're to dilate but it's not clear around which point. It's not clear if we're to scale the linear dimensions by

Disambiguating, let's say we'll keep Q the same and scale the linear dimensions, so we dilate by

We translate each point to the origin by subtracting

The rest don't require calculation: