Question

Find the area if the figure, pls write calculations

Answer 1

Answer:

area = 36 cm²

Step-by-step explanation:

The figure consists of a rectangle and a triangle.

area of rectangle = 12 × 2.4 = 28.8 cm²

area of triangle = $\frac{1}{2}$ bh ( b is the base and h the height )

Here b = 2.4 and h = 18 - 12 = 6 , then

area = $\frac{1}{2}$ × 2.4 × 6 = 1.2 × 6 = 7.2 cm²

area of figure = 28.8 + 7.2 = 36 cm²

Answer 2

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

To find the area of the complex shape:

  ⇒ must split the whole shape into a simpler shape

     ⇒ look at the image attached to see how I split it with a green line

Let's find the area of the top triangle

• Height ⇒ difference between the total height of entire shape and

                         height of rectangle

               ⇒ thus height is 18-12 = 6cm

• Base ⇒ same length as rectangle's width

               ⇒ thus height is 2.4cm

      Area of Triangle = 1/2 * base * height = 1/2 * 2.4 * 6 = 1.2 * 6 = 7.2 cm²

Let's find the area of the rectangle

• length: 12 cm
• width is 2.4 cm

     

     Area of Rectangle = length * width = 12 * 2.4 = 28.8 cm²

Total Area = Area of Rectangle + Area of triangle = 28.8 + 7.2 = 36 cm²

Answer: 36 cm²

Hope that helps!

#LearnwithBrainly