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

Step-by-step explanation:

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

$\dfrac{4\ in}{6\ ft}=\dfrac{x}{24\ ft}\\\\\\\dfrac{4\ in\cdot 24\ ft}{6\ ft}=x\\\\\\4\ in\cdot 4=x\\\\\\16\ in=x$

$\dfrac{4\ in}{6\ ft}=\dfrac{y}{15\ ft}\\\\\\\dfrac{4\ in\cdot 15\ ft}{6\ ft}=y\\\\\\2\ in\cdot 5=y\\\\\\10\ in=y$