Question

shown below is a wall. calculate the area of the wall.

Explanation:

Step1: Identify the shape

The wall can be seen as a trapezoid. The formula for the area of a trapezoid is $A = \frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the two parallel sides, and $h$ is the height (the distance between the parallel sides). Here, $a = 4m$, $b = 3m$, and $h = 3m$.

Step2: Apply the trapezoid area formula

Substitute the values into the formula: $A=\frac{(4 + 3)\times3}{2}$. First, calculate the sum of the parallel sides: $4 + 3 = 7$. Then multiply by the height: $7\times3 = 21$. Finally, divide by 2: $\frac{21}{2}= 10.5$.

Answer:

The area of the wall is $10.5$ square meters.