Question

Lucas is inspecting a floor plan of his new house

with a scale of 5 cm : 4 m. The dimensions of his
bedroom in the scaled plan are 6 cm by 7 cm.
What is the area of Lucas’s actual bedroom in
square meters?

Answer 1

The area of Lucas’s actual bedroom is
`26.88\ m^(2)`

Explanation:

we know that

The scale is equal to

`(5)/(4)=1.25(cm)/(m)`

step 1

Find the dimensions of Lucas’s actual bedroom

To find the actual's dimensions divide the dimensions in the scaled plan by the scale

`6\ cm=6/1.25=4.8\ m`

`7\ cm=7/1.25=5.6\ m`

step 2

Find the area of Lucas’s actual bedroom

The area is equal to

`A=4.8*5.6=26.88\ m^(2)`