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in Perimeter and Area of Plane Figures by (65.5k points)

Radha made a picture of an aeroplane with coloured paper as shows in Fig. Find the total area of the paper used.

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(I) ∆ABC is an isosceles triangle. 

AB = AC = 5 cm, and BC = 1 cm. 

∴ a = 5 cm, b = 5 cm, c = 1 cm. 

∴ Perimeter = a + b + c 

= 5 + 5 + 1 = 11 cm.

∴ Area(∆ABC) = 24.85 sq. cm. 

(II) PBCS is a rectangle. 

l = 6.5 cm, b = 1 cm. 

Area of rectangle PBCS = l x× b 

= 6.5 × 1 = 6.5 sq.cm. 

(III) PQRS is a trapezium PT ⊥ QR 

In Right angle ∆PTV,

(IV) Area of ADBE = Area of ∆FCG

∴ The total area of the paper used to make an aeroplane 

= 2.485 + 6.5 + 1.29 + 4.5 + 4.5 

= 19.275 sq. cm.

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