Question

a scale drawing for an apartment is shown below. in the drawing, 1 cm represents 5 m. assuming the bedroom is rectangular, find the area of the real bedroom.

Explanation:

Step1: Find the real - length of the bedroom

Since 1 cm represents 5 m and the length of the bedroom in the drawing is 2 cm, the real - length $l$ is $2\times5 = 10$ m.

Step2: Find the real - width of the bedroom

Since 1 cm represents 5 m and the width of the bedroom in the drawing is 3 cm, the real - width $w$ is $3\times5=15$ m.

Step3: Calculate the area of the bedroom

The area of a rectangle is $A = l\times w$. Substitute $l = 10$ m and $w = 15$ m into the formula, we get $A=10\times15 = 150$ $m^{2}$.

Answer:

$150$ $m^{2}$