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

Answer:

The area of the figure is;

$275\text{ }cm^2$

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.

$A=l\times h+\frac{1}{2}bh$

Given;

$\begin{gathered} h=10\text{ cm} \\ l=20\operatorname{cm} \\ b=15\operatorname{cm} \end{gathered}$

substituting the given values;

$\begin{gathered} A=20\times10+\frac{1}{2}\times15\times10 \\ A=200+\frac{1}{2}\times150 \\ A=200+75 \\ A=275\text{ }cm^2 \end{gathered}$

Therefore, the area of the figure is;

$275\text{ }cm^2$