Question

Seventh grade > Y.12 Area of compound figures with triangles MRGWhat is the area of this figure?3 mm4 mm8 mm2 mm5 mm6 mm3 mmWrite your answer using decimals, if necessary.square millimeters6 mm

Answer 1

Answer:

Area of the figure = 72mm²

Step-by-step explanation:

Given:

An irregular figure

To find:

the area of the figure

To determine the area, we will divide the figure into shapes with known areas

We have 1 triangle, 1 rectangle, and 1 square. We will find the area of each of the shapes

Area of triangle = 1/2 × base × height

height = 3mm

base = 4 + 3 + 1 = 8mm

`\begin{gathered} Area\text{ of the triangle = }(1)/(2)*8*3 \\ \\ Area\text{ of the traingle = 12 mm}^2 \end{gathered}`

Area of rectangle = length × width

length = 8mm, width = 3mm

`\begin{gathered} Area\text{ of the rectangle = 8 }*\text{ 3} \\ \\ Area\text{ of the rectangle = 24 mm}^2 \end{gathered}`

Area of square = length²

length = 6 mm

`\begin{gathered} Area\text{ of the square = 6}^2 \\ \\ Area\text{ of the square = 36 mm}^2 \end{gathered}`

Area of the figure = Area of triangle + Area of the rectangle + Area of the square

`\begin{gathered} Area\text{ of the figure = 12 + 24 + 36} \\ \\ Area\text{ of the figure = 72 mm}^2 \end{gathered}`