A surveyor in Pune models a large triangular plot and a scale drawing of it; they are similar. The drawing's longest side is 8 cm and the plot's longest side is 40 m. If the drawing's area is 24 cm^2, what is the plot's area in m^2?

Question

Accepted Answer

600. Convert sides to same unit: 40 m = 4000 cm. Side ratio plot:drawing = 4000:8 = 500. Area ratio = 500^2 = 250000. Plot area = 24 x 250000 = 6,000,000 cm^2 = 600 m^2 (since 1 m^2 = 10000 cm^2).

A surveyor in Pune models a large triangular plot and a scale drawing of it; they are similar.
The drawing's longest side is 8 cm and the plot's longest side is 40 $m$ .
If the drawing's area is $24 cm^{2}$ , what is the plot's area in $m^{2}$ ?

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More Class 10 Areas of Similar Triangles practice

A surveyor in Pune models a large triangular plot and a scale drawing of it; they are similar.The drawing's longest side is 8 cm and the plot's longest side is 40 m.If the drawing's area is 24cm2, what is the plot's area in m2?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

A surveyor in Pune models a large triangular plot and a scale drawing of it; they are similar.
The drawing's longest side is 8 cm and the plot's longest side is 40 $m$ .
If the drawing's area is $24 cm^{2}$ , what is the plot's area in $m^{2}$ ?