RS Aggarwal & V Aggarwal - Mathematics

Book: RS Aggarwal & V Aggarwal - Mathematics

Chapter: 7. Areas

Subject: Mathematics - Class 9th

Q. No. 31 of CCE Questions

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A piece of land is in the shape of a rhombus ABCD in which each side measures 100m and diagonal AC is 160m long. Find the area of the rhombus.

Let the sides of triangle be 100m, 160m, and 100m

Semi perimeter,

Now, using Heron’s formula,

= 4800 m2

Now, we know that, diagonal divides a parallelogram into two triangles of equal areas.

Area of parallelogram ABCD = 2(area of ΔABC)

= 2 × 4800

= 9600 m2

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