Question

Estimate the perimeter and the area of the shaded figure


Show how u got it please.

Answer 1

8(1 +√2)

Explanation:

The perimeter is the sum of the sides of the figure

Taking 1 square box as 1 unit

Get the slant side using the pythagoras theorem;

l² = 2² + 2²

l² = 4 + 4

l² = 8

l =√8

Perimeter = 4(√8) + 4 + 4

Perimeter = 8 + 4√8

Perimeter = 8 + 4*2√2

Perimeter = 8 + 8√2

Perimeter = 8(1 +√2)

hence the perimeter of the shape is 8(1 +√2)