Question

1. (the image shows a trapezoid with the lengths of the two parallel sides being 20m and 14m, and the height (the perpendicular distance between the two parallel sides) being 14m)

Explanation:

Step1: Identify the shape and formula

The figure is 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. Here, $a = 20\,\text{m}$, $b = 14\,\text{m}$, and $h = 14\,\text{m}$.

Step2: Substitute values into the formula

Substitute $a = 20$, $b = 14$, and $h = 14$ into the formula:

$$ A = \frac{(20 + 14) \times 14}{2} $$

Step3: Simplify the expression

First, calculate the sum inside the parentheses: $20 + 14 = 34$. Then, multiply by $14$: $34 \times 14 = 476$. Finally, divide by $2$: $\frac{476}{2} = 238$.

Answer:

The area of the trapezoid is $238\,\text{square meters}$.