Question

find the area of each rectar
a.
12 cm
area of the square =
area of the triangle =

Explanation:

Step1: Recall square - area formula

The formula for the area of a square is $A = s^2$, where $s$ is the side - length of the square. Given $s = 12$ cm.
$A_{square}=12\times12$

Step2: Calculate the area of the square

$A_{square}=144$ $cm^2$

Step3: Recall triangle - area formula

The formula for the area of a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height. For the shaded triangle in the square, $b = 12$ cm and $h = 12$ cm.
$A_{triangle}=\frac{1}{2}\times12\times12$

Step4: Calculate the area of the triangle

$A_{triangle}=72$ $cm^2$

Answer:

area of the square = $144$ $cm^2$
area of the triangle = $72$ $cm^2$