Question

What is the area of this polygon?

Answer 1

Answer:

316 is the correct answer

Step-by-step explanation:

316 cm^2

Answer 2

316 cm²

A polygon is given to us and we are interested in finding out the area of the polygon .

• Here we can see that the polygon is made up of a rectangle and a triangle .

We can separately find out their areas and then add them up to find out the area of the polygon.

So that ,

$\sf\longrightarrow Area = ar(\triangle)+ ar(\blacksquare)$

• We know that the area of rectangle is length × breadth and that of triangle is 1/2 × base × height . So ,

$\sf\longrightarrow Area = \dfrac{1}{2}(base)(height) + (length)(breadth)$

• Here height of triangle can be calculated by subtracting the lengths 18cm and 14cm and its base can be calculated by subtracting CD from BD ( see figure in attachment.)

$\sf\longrightarrow Area = \dfrac{1}{2}(4cm)(11cm)+(21cm)(14cm)$

$\sf\longrightarrow Area = 22cm^2 + 294cm^2$

$\sf\longrightarrow \underline{\boxed{\bf Area_{(polygon)}= 316cm^2}}$