Q:

6. All angles in the figure below are right angles. What is the area of the figure? (4 point)141S2836

Accepted Solution

A:
Answer:Area the figure = 45 - 9 = 36 units² ⇒ last answerStep-by-step explanation:"I have added screenshot of the complete question as well as the diagram"All the angles of the figure are right anglesFrom the attached figure: we can find the area of the figure by subtracting the area of the cutting part from the area of the rectangle of dimensions 9 units and 5 units∵ All the angles of the figure are right angles∴ We can consider that the figure of dimensions 9 units and 5 units   as a rectangle∵ Area of any rectangle A = L × H , where L, H are the dimensions   of the rectangle∵ L = 9 units and H = 5 units∴ Area of the rectangle = 9 × 5 = 45 units²- The dimensions of the cutting part are 3 units and   [9 - (2 + 4) = 9 - 6 = 3 units]∴ The cutting part is a square∵ Area any square = S², where S is the length of the side of the square∵ S = 3 units∴ The area of the cutting part = 3² = 9 units²∵ Area of the figure = area rectangle - area square∵ Area the rectangle = 45 units²∴ Area the square = 9 unit²∴ Area the figure = 45 - 9 = 36 units²