Question

. The diagonal of a quadrilateral shaped field is 15 metre and the perpendiculars to it from the

remaining opposite vertices are 10 metre and 12 metre. Find the area of the field
Steps batado confusion​

Answer 1

Answer for similar question: -

Given :

Diagonal of quadrilateral = 24 m and perpendicular dropped on it (diagonal) from the remaining opposite vertices are 8 m and 13 m.

(As shown in figure)

Find :

Area of the Quadrilateral.

Solution :

We know that

Area of quadrilateral = 1/2 × diagonal × (Sum of perpendicular on the quadrilateral from remaining opposite vertices)

Assume a quadrilateral ABCD such that

BD = diagonal of quadrilateral

AM and CN = perpendiculars on the diagonal

We have

Diagonal = BD = 24 m

Perpendicular on the quadrilateral (AM and AN) = 8 m and 13 m

Substitute the known values in above formula. To find the value of area of field (quadrilateral).

→ 1/2 × 24 × (8 + 13)

→ 12 × 21

→ 252 m²

∴ Area of quadrilateral is 252 m².

Answer 2

Answer:

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