Question

A scale drawing of a game room is shown below:

A rectangle is shown. The length of the rectangle is labeled 2 inches. The width of the rectangle is labeled 4.5 inches. The scale is 1 to 30.

What is the area of the actual game room in square feet? Round your answer to the nearest whole number.

9 ft2

23 ft2

56 ft2

270 ft2

Answer 1

@Hero

Answer 2

@Hero

Answer 3

@tkhunny

Answer 4

@phi

Answer 5

there are two strategies.

One way: multiply both sides by 30 to get the size of the big figure. then figure out its area.

2nd way: find the area of the small figure. then multiply by 30^2 (because we know area will go up by a factor of 30*30)

Answer 6

the other problem is that your answer will be in square inches.

to change to square feet you need to divide square inches by (12*12) to get square feet.

Answer 7

so the first one we get 135 and 60 tnow how do we find the area

Answer 8

@phi

Answer 9

ok, but remember that those are in inches.

can you change those to feet ? (divide by 12)

Answer 10

then we multiply those and get 8100 then we divide by 144 we get 56.25

Answer 11

but then if we divide 135 by 12 we get 11 .25 andthen we divide 60 / 5 then we get 5 so we multiply those and get 56.2 anyway

Answer 12

56.25* sorry

Answer 13

yes, or if we first changed them to feet
135/12 * 60/12 (which by the way is \( \frac{135\cdot 60}{12\cdot 12} \) )
we would get
11.25*5= 56.25

round to 56

Answer 14

ok so 56 ft^2

Answer 15

yes, it's good (when learning) to see how to do it different ways. It might sink in !

Answer 16

ok well thanks for the help today

Answer 17

@iceicebaby you do flvs don't you.