Calculate the area of the figure given below which is not drawn to scale.

Question

KnowledgeBoat · Accepted Answer

Area of figure ABCEF = Area of trapezium ABCF \+ Area of triangle CEF Area of triangle CEF = x b x h = x CF x DE = x 25 x 12 m² = 25 x 6 m² = 150 m² In triangle BGC, Base² \+ Height² = Hypotenuse² ⇒ CG² \+ BG² = CB² Let `h` be the length of BG. ⇒ 10² \+ h² = 26² (∵CG = CF \- GF = CF \- BA = 25 \- 15 = 10) ⇒ 100 \+ h² = 676 ⇒ h² = 676 \- 100 ⇒ h² = 576 ⇒ h = ⇒ h = 24 cm Area of trapezium = (sum of parallel sides) x distance between the parallel sides = (AB \+ CF) x BG = (15 \+ 25) x 24 m² = x 40 x 24 m² = 20 x 24 m² = 480 m² So, total area of figure ABCEF = 150 \+ 480 m² = 630 m² Hence, the area is 630 m².

Mathematics

Calculate the area of the figure given below which is not drawn to scale.

Mensuration

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