Question

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

Answer 1

Answer:

Area the figure = 45 - 9 = 36 units² ⇒ last answer

Step-by-step explanation:

"I have added screenshot of the complete question as well as the diagram"

All the angles of the figure are right angles

From 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