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
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
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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Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4
