Perimeter and Area Solution7





In this page perimeter and area solution7 we are going to see solution of some practice questions.

Question 7 :

The area of a quadrilateral is 54 cm². The perpendiculars from two opposite vertices to the diagonal are 4 cm and 5 cm. What is the length of this diagonal?

Solution:

Area of the quadrilateral = 54 cm²

Length of perpendiculars h₁ = 4 cm

                                    h₂ = 5 cm

Length of diagonal = ?

Area of quadrilateral = 54 cm²

(1/2) x d x (h₁+h₂) = 54

(1/2) x (d) x (4 + 5) = 54

(1/2) x (d) x (9) = 54

                     d = 54 x 2 x (1/9)

                     d = 6 x 2

                     d = 12 cm