Question

A triangle is inscribed in a rectangle as shown below what is the area of the shaped region

Answer 1

The area of the shaded region is $47.5cm^2$.

Area of the shaded region.

The area of the shaded region is the area of the whole region minus the area of the unshaded region.

How to find the area of the shaded region?

The area of the whole region is equal to the area of the rectangle as a triangle is inscribed in a rectangle and the area of the unshaded region is equal to the area of the triangle.

Then the area of the shaded region will be the area of the rectangle minus the area of the triangle.

The area of the rectangle will be $A_{1}=base\times height$ where the base = 11 cm and height = 5cm.

Then we will get

$A_{1}=11\times5\\A_{1}=55cm^2$

Now the area of the triangle is $A_{2}=\dfrac{base\times height}{2}$ where the base = 5cm and the height = 3cm.

Then we will get

$A_{2}=\dfrac{5\times3}{2} \\A_{2}=\dfrac{15}{2}\\ A_{2}=7.5$

Then the area of the shaded region will be $55-7.5=47.5cm^2$.

So, the area of the shaded region is $47.5cm^2$

Learn more about the area of a triangle here- https://brainly.com/question/11952845

#SPJ2