Question

Abraham is installing carpet in his bedroom. On the blueprints, Abraham's bedroom is 6 inches wide and 10 inches long. If the scale is 1 in : 2 ft, what is the area of Abraham's bedroom?

Answer 1

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