Question

Find the area of a quadrilateral whose diagonal is 50 m and perpendicular heights to the diagonal are 10 m and 20 m.

• A. $750m^2$
• B. $450m^2$
• C. $950m^2$
• D. $350m^2$

Answer 1

The correct option is A $750m^2$

Given
Length of the diagonal = 50 m
Height h₁ = 10 m
Height h₂ = 20 m

We know that
$Areaofquadrilateral=\frac{1}{2}\times d\times (h_1+h_2)=\frac{1}{2}\times 50\times (10+20)=\frac{1}{2}\times 50\times 30=25\times 30=750m²$