Question

find the area of the shaded region when ABCD is a square:​

Answer 1

Answer:

The correct answer is 128cm2.

Answer 2

Step-by-step explanation:

Consider 'E' as a point in between the line 'BC',

i.e., B - E - C

therefore,

BE = 4cm

& CE = 12cm

BE + CE = BC

4+12 = BC

therefore,

BC = 16 ••• ( 1 )

[] ABCD is a square, ••• As given in

the question

therefore,

AB = BC = AD = CD = 16 •••from equation ( 1 )

now,

In ∆ ABE ,

BE = 4 cm

AB = 16 cm

Area of triangle = 1/2×b×h

= 1/2× BE × AB

= 1/2× 4 × 16

= 2 × 16

= 32 cm.sq.

Now,

In ∆ DCE ,

CE = 12 cm

CD = 16 cm

Area of triangle = 1/2×b×h

= 1/2 × CE × CD

= 1/2 × 12 × 16

= 6 × 16

= 96 cm.sq.