Question

The area of a quadrilateral is 525 sq.M. The perpendiculars from two vertices to the diagonal are 15m and 20 m. What is the length of this diagonal?

Answer 1

Answer:

• The length of its diagonal = 30 m.

Given :

• The area of a quadrilateral is 525 m².

• The length of one vertices side = 15 m

• The length of the second vertices side = 20 m.

To find :

• The length of its diagonal =?

Step-by-step explanation:

The area of a quadrilateral is 525 m².[Given]

Let, the two perpendicular vertices to the diagonal are h₁ = 15 m and h₂ = 20 be.

We know that,

Area of quadrilateral = 1/2 × d (h₁ +h₂)

[d = Diagonal]

Substituting the values in the above formula, we get,

525 = 1/2 × d × 35

525 × 2/35 = d

15 × 2 = d

Or, d = 15 × 2

d = 30.

Thus, The length of its diagonal = 30 m.