Question

The blueprint of a concrete patio has a scale of 2 in. = 3 ft You want to find the dimensions of a new blueprint of the patio with a scale of 4 in. = 5 ft. Find the actual dimensions if length = 30 inches and width = 28 inches.

Answer 1

Answer:

$If\ old\ scale\ is\ taken:\ Length=45\ ft,\ Width=42\ ft\\\\If\ new\ scale\ is\ taken:\ Length=36\ ft,\ Width=33.6\ ft$

Step-by-step explanation:

Older Scale:

$2\ in=3\ ft\\\\\Rightarrow 1\ in=\frac{3}{2}\ ft\\\\Length=30\ in\\\\Length=30\times \frac{3}{2}\ ft\\\\Length=45\ ft\\\\Width=28\ in\\\\width=28\times \frac{3}{2}\ ft\\\\width=42\ ft$

New scale:

$4\ in=5\ ft\\\\\Rightarrow 1\ in=\frac{5}{4}\ ft\\\\Length=30\ in\\\\Length=30\times \frac{5}{4}\ ft\\\\Length=36\ ft\\\\Width=28\ in\\\\width=28\times \frac{5}{4}\ ft\\\\width=33.6\ ft$