Question

Odds5Jaycee created a figure by drawing a righttriangle next to a rectangle.10 cm-20 cm-15 cmWhat is the area of the figure in squarecentimeters?A 275 cm?B 75 cm?C 125 cm?D 200 cm?Add the areasof each shape

Answer 1

The area of the figure is;

`275\text{ }cm^2`

Step-by-step explanation:

Given the figure in the attached image.

We want to find the area of the figure.

The figure is composite and consists of a rectangle and a triangle.

The area of the figure is the sum of the area of the rectangle and the area of the triangle.

`A=l* h+(1)/(2)bh`

Given;

substituting the given values;

`\begin{gathered} A=20*10+(1)/(2)*15*10 \\ A=200+(1)/(2)*150 \\ A=200+75 \\ A=275\text{ }cm^2 \end{gathered}`

Therefore, the area of the figure is;

`275\text{ }cm^2`