Question

find the area of the figure. round to the nearest tenth, if necessary

Explanation:

Step1: Calculate rectangle area

The formula for the area of a rectangle is $A = lw$, where $l$ is the length and $w$ is the width. Here, $l = 25$ cm and $w = 11$ cm. So the area of the rectangle $A_{rectangle}=25\times11 = 275$ $cm^{2}$.

Step2: Calculate triangle area

The formula for the area of a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height. Here, $b = 11$ cm and $h = 14$ cm. So the area of the triangle $A_{triangle}=\frac{1}{2}\times11\times14=77$ $cm^{2}$.

Step3: Calculate the total area

The total area of the figure $A = A_{rectangle}-A_{triangle}$. So $A=275 - 77=198$ $cm^{2}$.

Answer:

$198$