Question

The actual length and width of a rectangular baseball ground are 120 m and 25 m, respectively. The ground is to be renovated and a scale drawing of the ground is made using a scale factor of $\frac{1}{1000}$. What is the area of the ground in the scale drawing?

• A. 3000 sq m
• B. 0.003 sq m
• C. 20 sq m
• D. 2 sq m

Answer 1

The correct option is B 0.003 sq m

Actual length of the rectangular ground $=120m$
Scaled length of the rectangular ground $=$ Actual length of the rectangular ground $\times$ Scale factor
$=120\times \frac{1}{1000}=0.12m$

Actual width of the rectangular ground $=25m$
Scaled width of the rectangular ground $=$ Actual width of the rectangular ground $\times$ Scale factor
$=25\times \frac{1}{1000}=0.025m$

Area of the ground in scale drawing
$=$ Scaled length of the rectangular ground $\times$ Scaled width of the rectangular ground
$=0.12\times 0.025=0.003sqm$