Question

A triangle shaped land has the sides in the ratio3:5:7, if its perimeter is 300 meter. What will be the area of the land?

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Answer 1

Answer:

The sides of a the triangular plot are in the ratio 3:5:7. So, let the sides of the triangle be 3x, 5x and 7x.

Also it is given that the perimeter of the triangle is 300 m therefore,

3x+5x+7x=300

15x=300

x=20

Therefore, the sides of the triangle are 60,100 and 140.

Now using herons formula:

S=260+100+140=2300=150 m

Area of the triangle is:

A=s(s−a)(s−b)(s−c)=150(150−60)(150−100)(150−140)=150×90×50×10=6750000

=15003 m2

Hence, area of the triangular plot is 15003 m2.

Answer 2

Answer:

area will also be 300 metre square

hope it helps