Step 1
Find the perimeter of rectangle ABDE
we know that
the perimeter of rectangle is equal to

In this problem


substitute
Step 2
Find the perimeter of triangle BCD
we know that
the perimeter of triangle is equal to

In this problem we have


Applying the Pythagoras theorem



substitute

Find the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD
we have
the perimeter of rectangle is equal to
the perimeter of the triangle is
so
the ratio is equal to

therefore
the answer Part 1) is the option B

Step 3
Find the area of polygon ABCDE
we know that
The area of polygon is equal to the sum of the area of rectangle plus the area of triangle
Area of rectangle is equal to

Area of the triangle is equal to

the height h of the triangle is equal to

substitute

The area of polygon is

therefore
the answer part 2) is the option C
