Question

11 cm4cm3cm3 cm2 cmA rectangle is move from a white triangle 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

The area of the shaded portion is 37.5 cm^2

Explanation:

From the question provided, The figure contains a right-angled triangle and rectangle

Given information

• Height of the triangle = 11cm

,

• The total base of the triangle = 9cm

• The length of the rectangle = 3cm

,

• The width of the rectangle = 4cm

The area of the shaded portion = Area of a Triangle - Area of rectangle

The next thing is to find the area of the triangle and rectangle

`\begin{gathered} \text{Area of triangle = }(1)/(2)\text{ b x h} \\ \text{Area of a triangle = }(1)/(2)\cdot\text{ 9 }\cdot\text{ 11} \\ \text{Area of a triangle = }(99)/(2) \\ \text{Area of a triangle = 49.5 cm}^2 \end{gathered}`
`\begin{gathered} \text{The area of a rectangle = Length x width} \\ \text{Area of a rectangle = 3 x 4} \\ \text{Area of a rectangle = 12cm}^2 \end{gathered}`

The area of the shaded portion can be calculated as

`\begin{gathered} \text{The area of the shaded portion = Area of triangle - area of rectangle} \\ \text{The area of the shaded portion = (49.5 - 12) cm}^2 \\ \text{The area of the shaded portion = }37.5cm^2 \end{gathered}`