Question

The the area of a quadrilateral is is 800 CM square the length of perpendicular to its diagonal are 120 CM and 80cm respectively find the length of diagonal of the quadrilateral

Answer 1

Let the length of diagonal be D

Here area of quadrilateral is given 800 cm²

but, we know that area of quadrilateral = $\frac{1}{2}$ × diagonal ( sum of perpendiculars on diagonal)

∴ $\frac{1}{2}$×D( 120 cm + 80 cm ) = 800 cm²

D = $\frac{800 cm^2}{200 cm}$×2

D = 8 cm

Hence length of diagonal is 8 cm