Question

which figure has a greater area?
10 mm
10.3 mm
3 mm
10 mm
9 mm

Explanation:

Step1: Calculate area of triangle

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. Here, base = 10.3 mm, height = 10 mm. So, $A_{triangle} = \frac{1}{2} \times 10.3 \times 10 = 51.5$ $mm^2$.

Step2: Calculate area of trapezoid

The formula for the area of a trapezoid is $A = \frac{1}{2} \times (a + b) \times h$, where $a = 3$ mm, $b = 9$ mm, $h = 10$ mm. So, $A_{trapezoid} = \frac{1}{2} \times (3 + 9) \times 10 = 60$ $mm^2$.

Step3: Compare areas

Compare 51.5 and 60. Since 60 > 51.5, the trapezoid (the second figure) has a greater area.

Answer:

The trapezoid (the figure with bases 3 mm, 9 mm and height 10 mm) has a greater area.