Question

the diagonal of a quadrilateral is 30 cm in length and the lengths of perpendiculars to it from the opposite vertices are 8 cm and 10 cm. find the area of diagonal

Answer 1

Given,

The diagonal of a quadrilateral = 30 centimeters

The lengths of perpendiculars to the diagonal from the opposite vertices = 8 cm and 10 cm

To find,

Area of the quadrilateral.

Solution,

We can simply solve this mathematical problem using the following process:

As per the geometry of any quadrilateral,

Area of any quadrilateral = Area (quadrilateral)

Area of any quadrilateral = Area (quadrilateral)= 1/2 x (length of diagonal) x (sum of the lengths of perpendiculars to the diagonal from the opposite vertices)

Now, the area of the quadrilateral

= Area (quadrilateral)

= 1/2 x (length of diagonal) x (sum of the lengths of perpendiculars to the diagonal from the opposite vertices)

= 1/2 x (30 cm) x (8cm + 10cm)

= 1/2 x (30 cm) x (18cm)

= 270 square centimeters = 270 cm^2

Hence, the area of the quadrilateral is 270 square centimeters.

Answer 2

Answer:

90cm square

Step-by-step explanation:

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