Question

a scale drawing for a backyard is shown below. in the drawing, 3 cm represents 5 m. assuming the patio is rectangular, find the area of the real patio. area of the real patio: $square m^{2}$

Explanation:

Step1: Find the scale factor

The scale is 3 cm represents 5 m, so the scale - factor for length is $\frac{5}{3}$ m/cm.

Step2: Find the real - length of the patio

The length of the patio in the drawing is 9 cm. The real - length $L$ is $L = 9\times\frac{5}{3}=15$ m.

Step3: Find the real - width of the patio

The width of the patio in the drawing is 6 cm. The real - width $W$ is $W = 6\times\frac{5}{3}=10$ m.

Step4: Calculate the area of the patio

The area of a rectangle is $A = L\times W$. So $A=15\times10 = 150$ $m^{2}$.

Answer:

150