The area and perimeter of the compound shape are 128.78 and 50.9 respectively.
Area is the measure of the extent of a surface, often measured in square units.
Perimeter is the total length of the boundary of a two-dimensional figure, representing the sum of all its sides.
We need to find AB first
AB = √ 8.3² - 7²
AB = √ 19.89
AB = 4.5
To find the area;
The compound shape can be divided into trapezoid and triangle
area of trapezoid = 1/2(a+b)h
= 1/2( 12.4 + 16.9) 7
= 1/2 × 29.3 × 7
= 102.55 cm²
area of triangle;
ED = 12.2 - 7 = 5.2 cm
area = 1/2 × 4.3 × 12.2
= 26.23
area of the shape = 102.55 + 26.23
= 128.78 cm²
Perimeter = 8.3 + 4.5 + 8.1 + 8.1 + 4.3 + 12.2 + 5.4
= 50.9 cm