Question

Exercise 11.1
Find the area of a quadrilateral field, whose diagonal is 30 m and perpendiculars drawn to it from the opposite vertices are 14 m and 12 m.
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Answer 1

Answer:

Area = 390 m^2.

Step-by-step explanation:

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Answer 2

★Given:-

• Diagonal = 30cm
• Perpendiculars drawn to it from the opposite vertices are 14 m and 12 m.

★To find:-

• Area of the quadrilateral.

★Solution:-

Generally, a quadrilateral is the combined form of a regular or an irregular triangle.

To find the area of a quadrilateral,

1.Find the area of the individual triangles

2.Add the area of the individual triangles.

Using the formula,

✦Area of quadrilateral = (1/2) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.

Putting values,

➺Area = (1/2)×30×(14+12)

➺15(14+12)

➺15(26)

➺390m²

Therefore,the area of quadratic field is 390m².

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