Question

A diagonal of a quadrilateral is 14 cm long and perpendicular on it from the opposite vertex are 9.6 cm and 15.4 cm find the area of the quadrilateral

Answer 1

l = 14 cm

h₁ = 9.6 cm

h₂ = 15.4 cm

Area of quadrilateral = \(\frac 12 (h_1 + h_2) \times d\)

\(= \frac 12 \times (9.6 + 15.4) \times 14\)

\(= \frac 12 \times 25\times 14\)

\(= 25 \times 7\)

\(= 175\) cm³