Question

The area of the parallelogram ABCD is 90 cm² (see figure). Find ar (ΔABD)

Answer 1

Given, area of parallelogram, ABCD = 90 cm².

We know that, if a triangle and a parallelogram are on the same base and between the same parallels, then area of triangle is equal to half of the area of the parallelogram.

Here, ΔABD and parallelogram ABCD are on the same base AB and between the same parallels AB and CD.

So, ar (ΔABD) = `1/2` ar (ABCD)

= `1/2` × 90 = 45 cm²  ......[∴ ar (ABCD) = 90 cm²]