Question

a scale drawing for an apartment is shown below. in the drawing, 5 cm represents 6 m. assuming the bedroom is rectangular, find the area of the real bedroom. area of the real bedroom: m²

Explanation:

Step1: Find the scale - factor for length

The scale is 5 cm represents 6 m. So the scale - factor for length is $\frac{6}{5}$ m/cm.

Step2: Find the real - length of the bedroom

The length of the bedroom in the drawing is 5 cm. The real - length $l$ is $l = 5\times\frac{6}{5}=6$ m.

Step3: Find the real - width of the bedroom

The width of the bedroom in the drawing is 10 cm. The real - width $w$ is $w = 10\times\frac{6}{5}=12$ m.

Step4: Calculate the area of the real bedroom

The area of a rectangle is $A=l\times w$. Substituting $l = 6$ m and $w = 12$ m, we get $A=6\times12 = 72$ m².

Answer:

72