Question

CAN SOMEONE PLEASE HELP????

Answer 1

The area of the figure is A. 216 cm².

Explanation:

Step 1:

To calculate the value of the composite shape we first divide it into shapes that we know.

In this case, the composite figure consists of a rectangle and a triangle attached to it.

If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.

Step 2:

The triangle has a base length of 8 cm and a height of 12 cm. The area of the triangle
`=(1)/(2) (b)(h)=(1)/(2) (8)(12) = 48.`

The area of the triangle is 48 cm².

Step 3:

The area of a rectangle is the product of its length and its width.

The given rectangle has a length of 14 cm and a width of 12 cm.

The area of the rectangle
`= (l)(w) = (14)(12) = 168.`

The area of the rectangle is 168 cm².

Step 4:

Now we calculate the area of the entire figure by adding the areas of the triangle and the rectangle.

Area of the figure
`=48+168 = 216.`

So the area of the figure is 216 cm² which is option A.