Question

A diagonal of quadrilateral is 28cm. Two perpendiculars drawn to it from opposite vertices are 10.2 cm and 11.8 cm .Find the area of the quadrilateral ​

Answer 1

Answer:

The area of the quadrilateral is 308 cm².

Step-by-step explanation:

The diagonal of a quadrilateral, d = 28 cm

The length of the perpendiculars drawn to the diagonal from the opposite vertices are h₁ = 10.2 cm and h₂ = 11.8 cm

The formula of the area of a quadrilateral is given by,

Area = ½ * [diagonal] * [sum of the lengths of the perpendiculars drawn from the opposite vertices to the diagonal]

Now, substituting the given values in the above formula of the area we get,

Area of the quadrilateral = ½ * d * [h₁ + h₂]  

⇒ Area of the quadrilateral = ½ * 28 * [10.2 + 11.8]

⇒ Area of the quadrilateral = ½ * 28 * 22

⇒ Area of the quadrilateral = 11 * 28

⇒ Area of the quadrilateral = 308 cm²

Answer 2

Answer:

308 sq.cm

Step-by-step explanation:

I HOPE I HAVE UNDERSTOOD THE QUESTION RIGHT AND HOPE IT IS CORRECT..