Question

level 296
what is the area of this figure?
40 cm
18 cm
30 cm
15 cm
select an answer
a 725 cm²
b 525 cm²
c 103 cm
d 450 cm²

Explanation:

Step1: Identify the figure type

The figure is a trapezoid with two parallel sides (bases) of lengths \(40\space cm\) and \(30\space cm\), and the height (distance between the bases) is \(15\space cm\).

Step2: Recall the area formula for a trapezoid

The area \(A\) of a trapezoid is given by the formula \(A=\frac{(a + b)}{2}\times h\), where \(a\) and \(b\) are the lengths of the two parallel sides (bases), and \(h\) is the height.

Step3: Substitute the values into the formula

Here, \(a = 40\space cm\), \(b = 30\space cm\), and \(h = 15\space cm\). Substituting these values into the formula:
\[

$$\begin{align*} A&=\frac{(40 + 30)}{2}\times15\\ &=\frac{70}{2}\times15\\ &= 35\times15\\ &= 525\space cm^{2} \end{align*}$$

\]

Answer:

B. \(525\space cm^{2}\)