Question

A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Answer 1

Answer: 51m²

Step-by-step explanation:

To solve this type of problem , you first of all consider the diagram asba complete block.The diagram is a complete block or rectangle upon which a triangle is superimposed. To find the area of the shaded region , just find the area of the whole block and removed the area of the triangle that was superimposed.

Now, let move to the real work

Area of the whole block

= length × breadth

= 7m × 9m

= 63m²

Step ii,

Area of the right angle triangle

= (1/2)bh

= 1/2 × b × h

Now to get the dimensiona of the triangle, we need to do some deductions. Since the widths of the triangle is 9m, therefore, the height of the triangle wil

= 9m - 3m

= 6m.

h = 6m.

Since the length of the triangle is 7m, therefore, the base of the triangle will be

= 7m - 3m

= 4m.

Step iii, to find the area of the triangle now , we applied the formula.

Area = 1/2 × 6 × 4

= 12m².

Now to find the area of the shaded region , we carry out subtraction

Area = 63m² - 12m²

= 51m².