Question

5. You want to produce a scale drawing of your living room, which is 24 ft by 15 ft. If you use a scale of 4 in. = 6 ft, what will be the dimensions of your

scale drawing?
16 in. by 10 in.
24 in. by 10 in.
16 in. by 144 in.
24 in. by 144 in.

Answer 1

Answer: A) 16 in by 10 in

Explanation:

Set up the proportion for 24 ft and then for 15 ft:

`(4\ in)/(6\ ft)=(x)/(24\ ft)\\\\\\(4\ in\cdot 24\ ft)/(6\ ft)=x\\\\\\4\ in\cdot 4=x\\\\\\16\ in=x`

`(4\ in)/(6\ ft)=(y)/(15\ ft)\\\\\\(4\ in\cdot 15\ ft)/(6\ ft)=y\\\\\\2\ in\cdot 5=y\\\\\\10\ in=y`