Answer :

Answer:

21 cm²

Step-by-step explanation:

Area of a trapezium is given by the formula

[tex]A = \dfrac{a + b}{2}\cdot h[/tex]

where

a and b are two opposite parallel sides and

h is the vertical height(distance between these two sides)

Measurements in the image are in cm with each square grid being 1 cm x 1 cm

Looking at the graph we see

top side (call it a) = 5 cm
bottom side(call it b) =  9 cm

h = 3 cm

[tex]Area \; A = \dfrac{5 + 9}{2} \cdot 3\\\\A = \dfrac{14}{2} \cdot 3\\\\A = 7 \cdot 3\\\\A =21 \text{ square cm}[/tex]

Answer:
Area = 21 cm²