Answer:
The area of given composite figure is 488 cm²
Step-by-step explanation:
Given: Figure consisting of a rectangle and a triangle.
We have to find the area of the given composite figure.
Since, the figure given consist of a triangle and rectangle we can find the area by finding area for rectangle and triangle and then add them up.
Consider the rectangle ABCD ,
Area of rectangle = length × breadth
Length = 22 cm
and breadth = 17 cm
Therefore, Area of rectangle = 22 × 17
Area of rectangle ABCD = 374 cm²
Since, opposite sides of rectangle are equal AC = BD = 22 cm
BD = BF + FD
So, FD = 22 - 10 = 12 cm
Area of triangle = [tex]\frac{1}{2} bh[/tex],
Where h is height and b is base
Given triangle has height 19 cm
and base DF = 12 cm
So area of triangle DEF = [tex]\frac{1}{2} 12 \times 19=114[/tex],
Thus, Area of triangle is 114 cm²
Therefore, the area of given composite figure = area of rectangle + area of triangle
The area of given composite figure =374 + 114 = 488 cm²
