Respuesta :

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

From the grid :-

[tex]\rm\implies Side_1 = 7 \ units [/tex]

[tex]\rm\implies Side_2 = 3 \ units [/tex]

[tex]\rm\implies \perp \ Distance =4 \ units [/tex]

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

[tex]\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm Area = 20 \ unit^2}[/tex]