A scale model of a triangular sail is built so that every length on the model is one-twentieth of the matching length on the real sail. The real sail is cut from 8 m^2 of cloth. Find the area of cloth needed for the model, in cm^2.

Question

Accepted Answer

200. Areas scale by (1/20 )^2 = 1/400, so the model needs 8/400 = 0.02 m^2. Since 1 m^2 = 10000 cm^2, that is 0.02 × 10000 = 200 cm^2. Dividing the area by 20 instead of 400 gives 0.4 m^2 = 4000 cm^2; the option 0.02 stops before converting the unit, and 2 converts using 1 m^2 = 100 cm^2.

A scale model of a triangular sail is built so that every length on the model is one-twentieth of the matching length on the real sail. The real sail is cut from $8 m^{2}$ of cloth.
Find the area of cloth needed for the model, in $cm^{2}$ .

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More Class 10 Areas of Similar Triangles practice

A scale model of a triangular sail is built so that every length on the model is one-twentieth of the matching length on the real sail. The real sail is cut from 8m2 of cloth.Find the area of cloth needed for the model, in cm2.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

A scale model of a triangular sail is built so that every length on the model is one-twentieth of the matching length on the real sail. The real sail is cut from $8 m^{2}$ of cloth.
Find the area of cloth needed for the model, in $cm^{2}$ .