Question

ABCD is a square and the area of right angle triangle AED is 16sq.cm.Find the area of shaded portion. Ans is )64sqm

Answer 1

Answer:

Step-by-step explanation:

1/2×b×h=16

1/2×2x×x=16

x =√16

x=4

2x=2×4=8

AD=√AEsq. +DEsq.

AD=√8×8+4×4

=√64+16

=√80

=4√5

Area of square = 4√5×4√5

=80cm sq.

Area of shaded region =area of square - area of triangle

=80-16

=64cm sq.

Hence area of shaded region is 64 cm sq.

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