Question:
Calculate the area of the composite figure, which is not drawn to scale.
Image:
It is a rectangle with a triangle on the side.
The rectangle has 17 cm on top, 22 cm on the left, 17 on the bottom, and 10 on the to right.
The triangle has 19 cm on the bottom.
To calculate the area of the composite figure, we need to break it down into its individual components (rectangle and triangle) and then find the sum of their areas.
First, let's calculate the area of the rectangle. The formula for finding the area of a rectangle is simply length multiplied by width. In this case, the length of the rectangle is 22 cm (left side) and the width is 17 cm (top side). To find the area, multiply these two values:
Area of rectangle = Length x Width
= 22 cm x 17 cm
= 374 cm²
Next, let's calculate the area of the triangle. The formula for finding the area of a triangle is (base multiplied by height) divided by 2. In this case, the base of the triangle is 19 cm, while its height is the right side of the rectangle, which also measures 10 cm. To find the area, multiply these two values and then divide by 2:
Area of triangle = (Base x Height) / 2
= (19 cm x 10 cm) / 2
= 190 cm² / 2
= 95 cm²
Now, to find the total area of the composite figure, we sum up the areas of the rectangle and the triangle:
Total area = Area of rectangle + Area of triangle
= 374 cm² + 95 cm²
= 469 cm²
Therefore, the area of the composite figure is 469 cm².
surely you know how to figure these areas:
rectangle: width * height
triangle: 1/2 base * height