Question

Find the perimeter of the following shape, rounded to the nearest tenth: shape abcd is shown. point a is at 5, 5. point b is at 7, 3. point c is at 3, 0. point d is at 1, 2. 12.5 15.7 16 16.5

Answer 1

15.7 units

Explanation:

See the attached image. We need the width and height of the shaded rectangle. Both may be determined by using the Pythagorean Theorem for the two triangles formed using two of the rectangle's sides. The perimeter is 2*Width + 2*Width.

Perimeter = 15.7 units

Answer 2

10 + 4
`√(2)` = 15.8 units