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# The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.

**Solution:**

From the diagram, the area for quadrilateral will be the sum of the area of two triangles.

Area of quadrilateral ABCD = Area of ΔABC + Area of ΔADC

= 1/2 × (AC × BE) + 1/2 × (AC × FD)

= 1/2 × AC (BE + FD)

= 1/2 × 24 m (13 m + 8 m)

= 1/2 × 24 m × 21 m

= 252 m²

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 11

**Video Solution:**

## The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.

Class 8 Maths NCERT Solutions Chapter 11 Exercise 11.2 Question 4

The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. The area of the field is 252 m².

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