Question

This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.

Answer 1

20 unit²

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 :-

`\rm\implies Side_1 = 7 \ units`

`\rm\implies Side_2 = 3 \ units`

`\rm\implies \perp \ Distance =4 \ units`

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 ,

`\rm\implies Area_(Trapezium)= (1)/(2)* ( s_1 + s_2) * \perp \ Distance \\\\\rm\implies Area = (1)/(2) * ( 7 + 3 ) * 4 \ unit^2 \\\\\rm\implies Area = (1)/(2) * ( 10) * 4 \ unit^2 \\\\\rm\implies\boxed{\rm Area = 20 \ unit^2}`