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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?

Respuesta :

calculista

Answer:

The area of Lucas’s actual bedroom is [tex]26.88\ m^{2}[/tex]

Step-by-step explanation:

we know that

The scale is equal to

[tex]\frac{5}{4}=1.25\frac{cm}{m}[/tex]

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

[tex]6\ cm=6/1.25=4.8\ m[/tex]

[tex]7\ cm=7/1.25=5.6\ m[/tex]

step 2

Find the area of Lucas’s actual bedroom

The area is equal to

[tex]A=4.8*5.6=26.88\ m^{2}[/tex]

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