Question

in the adjoining figure ABCD is a rectangle find the area of the composite figure ABECD .​

Answer 1

Answer:

ans is b

Step-by-step explanation:

Correct option is B)

The diagonal of a rectangle divides it into two equal right triangles,Triangle ABC and Triangle ADC.

In triangle ADC,

sin30

0

=

2

CD

⇒

2

1

=

2

CD

CD=1

Applying Pythagorean theorem, we get

AC

2

=AD

2

+CD

2

⇒AD

2

=2

2

−1

2

⇒AD=

3

So, height of triangle ACD, CD=1

Length of the base of △ACD, AD=

3

Area of triangle ACD,

=

2

1

× base × height

=

2

1

×

3

×1

=

2

3

Similarly,the area of right triangle ABC =

2

3

So, the area of rectangle= area of right triangle ABC + Area of triangle ACD=

2

3

+

2

3

=

3

.