Question

Find the area of the composite figure.

Answer 1

The area of the composite figure from the image attached is 112.5 units²

What is the area of a composite figure?

The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.

From the given figure; we can break it down into:

• A parallelogram
• A rectangle
• A triangle

The area of a parallelogram = b × h

where;

• b & h refers to the length of the two opposite diagonal lines.

The area of a parallelogram =  9 × 6

The area of a parallelogram = 54 units²

The area of a rectangle = Length × breadth

The area of a rectangle = (9 × 3) units²

The area of a rectangle = 27 units²

The area of the triangle $\mathbf{=\dfrac{1}{2}\times b \times h}$

where;

• Base = b
• Height = h

The area of the triangle $\mathbf{=\dfrac{1}{2}\times b \times h}$

The area of the triangle $\mathbf{=\dfrac{1}{2}\times 9 \times 7}$

The area of the triangle $\mathbf{= 31.5 units^2}$

Therefore, the area of the composite figure is:

= 54 + 27 + 31.5

= 112.5 units²

Learn more about composite figures here:

brainly.com/question/15981553