Answer:
10cm^2
Step-by-step explanation:
To find the area of the rectangle, you simply multiply its length by its width:
Area of rectangle = Length × Width
= 5 cm × 4 cm
= 20 cm²
Now, let's find the area of the triangle.
Given that one side of the triangle is 8 cm, and we have a right angle between this side and the base of the rectangle, which is 4 cm.
The area of a triangle can be calculated using the formula:
Area = 1/2 × base × height
In this case, the base of the triangle is the same as the base of the rectangle, which is 4 cm.
The height of the triangle is the other side that isn't the base. Since this side is perpendicular to the base and is part of the rectangle, its length is 5 cm.
So, the area of the triangle would be:
Area = 1/2 × 4 cm × 5 cm
= 2 cm × 5 cm
= 10 cm²
Therefore, the area of the triangle is 10 cm².