Question

find the area of the shape shown below.
the total area is _ square centimeters.
the solution is i

Explanation:

Step1: Calculate the area of the trapezoid

The formula for the area of a trapezoid is \(A=\frac{(a + b)h}{2}\), where \(a = 2\) cm, \(b=(10 - 5)=5\) cm, and \(h=(3 + 1)=4\) cm.

$$
LATEXBLOCK0
$$

Step2: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\), where \(l = 5\) cm and \(w = 1\) cm.

$$ A_{2}=5\times1 = 5 $$

Step3: Calculate the total area

The total area \(A=A_{1}+A_{2}\).

$$ A=14 + 15=29 $$

Answer:

\(29\)