Answer:
240 square feet
Step-by-step explanation:
Hello, I can help you with this
Step one
find the real scale
According to the data
scale is 1 in : 2 ft
also remember 1ft=12 inches
so
scale is 1in: 2(12 inches)
scale is 1 in :24 in
the purpose of use inches a unit in both sides is to eliminate the, the scale must be adimensional
so escales is
1:24 , this means, that a measure on the blueprint must be multiplied by 24 to know its real value
Step 2
with the escale find the real dimensions, you can use a rule of three
Abraham's bedroom is 6 inches wide
blueprint ⇔ bedroom
1 in ⇔ 24 in
6 in ⇔x
x=(6*24)/1
x=144 inches=12 ft
Abraham's bedroom is 10 inches long
1 in ⇔ 24 in
10 in ⇔y
y=(10*24)/1
x=240 inches=20 ft
Step 3
find the area
the area is wide *long
area=x*y
area=12ft*20ft
area=240 square feet.
Have a good day
To solve the problem we must know about ratios and area.
A ratio shows us the number of times a number contains another number.
The area of Abraham's bedroom is 240 feet².
As per the given information the scaling ratio is given, the scale is
1 in:2 ft. therefore, one inch on the blueprint is equal to 2 ft in real.
Width = 6 inches on blueprint
Width = 6 x 2
= 12 feet in real
Length = 10 inches on blueprint
Length = 10 x 2
= 20 feet in real
Area of the Bedroom = Length in real x breadth in real
= 20 feet x 12 feet
= 240 feet²
Hence, the area of Abraham's bedroom is 240 feet².
Learn more about Ratio:
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