The top horizontal edge of the rectangle measures 17 centimeters, the left vertical edge of the rectangle measures 22 centimeters, and the bottom horizontal edge measures 17 centimeters. The left vertical leg is on the right edge of the rectangle, with v
Calculate the area of the composite figure, which is not drawn to scale.
Please help me understand this. Thanks.
👤 Sliverstream
today at 11:50am
The way I read it, you just have a regular rectangle with sides labelled
17 cm by 22 cm.
What am I missing?
How is it a composite figure?
To calculate the area of the composite figure, we need to break it down into smaller shapes and find their areas individually.
The given figure consists of a rectangle and a right triangle.
Let's start by finding the area of the rectangle:
The formula to calculate the area of a rectangle is A = length x width.
Given that the top horizontal edge measures 17 centimeters and the left vertical edge measures 22 centimeters, we can identify the length and width of the rectangle. The length would be 17 centimeters, and the width would be 22 centimeters.
So, the area of the rectangle is:
A = length x width
= 17 cm x 22 cm
= 374 cm²
Next, let's calculate the area of the right triangle:
The formula to calculate the area of a triangle is A = 1/2 x base x height.
In this case, the base of the triangle is the bottom horizontal edge of the rectangle, which also measures 17 centimeters. The height of the triangle is the vertical edge of the rectangle, which is 22 centimeters.
So, the area of the triangle is:
A = 1/2 x base x height
= 1/2 x 17 cm x 22 cm
= 187 cm²
Finally, to find the area of the composite figure, we add the areas of the rectangle and the triangle:
Composite Area = Rectangle Area + Triangle Area
= 374 cm² + 187 cm²
= 561 cm²
Therefore, the area of the composite figure is 561 square centimeters.