Question

a scale drawing for a backyard is shown below.
in the drawing, 4 cm represents 5 m.
assuming the patio is rectangular, find the area of the real patio.
16 cm
8 cm
patio
4 cm
lawn
4 cm
area of the real patio: m²

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 of the patio

The length of the patio in the drawing is 8 cm. So, the real length is $8\times\frac{5}{4} = 10$ m.

Step3: Find the real width of the patio

The width of the patio in the drawing is 4 cm. So, the real width is $4\times\frac{5}{4} = 5$ m.

Step4: Calculate the area of the real patio

The area of a rectangle is length × width. So, the area is $10\times5 = 50$ $m^2$.

Answer:

50