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. image of the drawing with living room (11 cm by 11 cm) and bedroom (5 cm by 10 cm) area of the real bedroom: □ m²

Explanation:

Step1: Find the scale factor

The scale is 5 cm represents 6 m. So, 1 cm represents $\frac{6}{5}$ m.

Step2: Find the real length of the bedroom

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

Step3: Find the real width of the bedroom

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

Step4: Calculate the area of the real bedroom

The area of a rectangle is $A = l\times w$. So, $A = 6\times12 = 72$ $m^2$.

Answer:

72