In Figure ABCD, find the area of the shaded region.

1.	In Figure ABCD, find the area of the shaded region.
Answer» Given: Side of the square = 20 cm Area of the shade region = (Area of the square) – (Area of unshaded region) = (Square ABCD) – (ΔEAF + ΔFBC + ΔEDC) = side × side – (1/2 AF × AE + 1/2 FB × BC + 1/2 DE × DC) = 20 × 20 – (1/2 × 10 × 1/2 + 1/2 × 10 × 20 + 1/2 × 8 × 20) = 400 – [60 + 100 + 80] = 400 – 240 = 160cm²

Answer»

Given: Side of the square = 20 cm

Area of the shade region

= (Area of the square) – (Area of unshaded region)

= (Square ABCD) – (ΔEAF + ΔFBC + ΔEDC)

= side × side – (1/2 AF × AE + 1/2 FB × BC + 1/2 DE × DC)

= 20 × 20 – (1/2 × 10 × 1/2 + 1/2 × 10 × 20 + 1/2 × 8 × 20)

= 400 – [60 + 100 + 80] = 400 – 240 = 160cm²

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