# The sides of a triangular field are 325 m, 300 m and 125 m. Its area is - Mathematics

MCQ

The sides of a triangular field are 325 m, 300 m and 125 m. Its area is

• 18750 m2

• 37500 m2

• 97500 m2

• 48750 m2

#### Solution

The area of a triangle having sides aband s as semi-perimeter is given by,

A = sqrt(s(s-a)(s-b)(s-c)), where

s = (a+b+c)/2

Therefore the area of a triangular field, say A having sides 325 m, 300 m and 125 m is given by

a = 325 m ; b = 300 m ; c = 125 m

s = (a+b+c)/2

s = (325+300+125)/2

s =750/2

s = 375 m

A = sqrt(375(375-325)(375-300)(375-125))

A = sqrt(375(50)(75)(250)

A = sqrt(351562500)

A = 18750 m2

Concept: Application of Heron’s Formula in Finding Areas of Quadrilaterals
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 17 Heron’s Formula
Exercise 17.4 | Q 4 | Page 24

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