Question

Find the area of the image below

Answer 1

Answer:

Option A. 41 unit²

Step-by-step explanation:

The given figure on a graph consist of one right angle triangle and a rectangle.

Area of a triangle = $\frac{1}{2}$ × base × height

                              = $\frac{1}{2}$ × ( BC + DE) × ( AE - CD )

                              = $\frac{1}{2}$ × ( 6+4 ) × ( 9-4 )

                              = $\frac{1}{2}$ × 10 × 5

                              = $\frac{50}{2}$ = 25.0 unit²

Area of rectangle = length × width

                             = DE × CD

                             = 4 × 4

                             = 16 unit²

Total area of the figure = 25 + 16 = 41 unit²

Option A is the answer.

Answer 2

41 because if you separate the parts the square and the triangle then you would have a square that is 16 sq in diameter and a triangle that is 25sq in diameter
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