Abigail is redecorating her house. A scale drawing of 2 rooms can be seen below. If each 6 cm on the scale drawing equals 12 ft, what are the actual dimensions of Abigail’s house?
Room measurements:
A: 9 cm
B: 10 cm
C: 9 cm
D: 8 cm
E: 7 cm
1 answer:
The complete question in the attached figure
we know that
scale factor r=[dimension scale drawing]/[actual dimension]
r=6/12=0.5 cm/ft
[actual dimension]=[dimension scale]/r
for dimension scale=9 cm
[actual dimension]=[9]/0.5=18 ft
for dimension scale=10 cm
[actual dimension]=[10]/0.5=20 ft
answer
the actual dimensions of Abigail’s house are 18 ft x 20 ft the area of <span>
Abigail’s house is (18*20)=360 ft </span>
²
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