Question

a scale drawing for a plot of land is shown below. in the drawing, 4 cm represents 5 m. assuming the backyard is rectangular, find the area of the real backyard. (diagram shows backyard with length 12 cm and width 4 cm)

Explanation:

Step1: Find the scale factor

The scale is 4 cm represents 5 m. So, 1 cm represents $\frac{5}{4}$ m.

Step2: Find the real length and width of the backyard

The length of the backyard in the drawing is 12 cm. The real length $L = 12\times\frac{5}{4}= 15$ m.
The width of the backyard in the drawing is 4 cm. The real width $W = 4\times\frac{5}{4}= 5$ m.

Step3: Calculate the area of the real backyard

The area of a rectangle is $A = L\times W$. So, $A = 15\times5 = 75$ $m^2$.

Answer:

75