Question

Find the area of the shaded region and the perimeter of the enclosed figure.

Answer 1

Answer:

The area of a figure on grid is found by counting the total number of unit squares it occupies.

...

Solution

1)The shaded shape on the grid is a rectangle. ...

2)Perimeter of the shaded shape = 3 + 4 + 3 + 4 = 14 units.

3)Area of the shaded shape = length × width.

Answer 2

Area of square =Side

2

=4

2

=16cm

2

Area of cut portion = Area of two circles = 1 circle + 4quadrants

=2× pi×1

2

=6.28cm

2

So, area of remaining portion of square =(16−6.28)=9.72cm

2

Perimeter of the shaded region =4 quadrant + 1 circle+portion of the square

=4×

4

2πr

+2πr+4(2)

=4×

4

2π(1)

+2π(1)+8

=4π+8

=20.56cm