Question

Q1. A rhombus shaped field has green grass for 16 cows to graze. If each side of rhombus is 26 m and its longer diagonal is 48m, how much area of grass field will each cow be grazing.
Q2 The length of one side of a triangle is one less than twice the smallest side and the length of other side is three more than the smallest side. If the perimeter of triangle is 162 m find the area of the triangle.

Answer 1

Solution :-

ABCD is a rhombus

➞ For ΔBCD

➞ 8 + 30 + 30

➞ 108 cm

➞ 2S=108 cm, S=54 cm

➞ Area of ΔBCD

A = √s(s−a)(s−b)(s−c)

➞ √54(54−48)(54−30)(54−30)

➞ √54×6×24×24

➞ √72×6

➞ 432m²

Area of field

➞ 2 × Area of ΔBCD

➞ 2 × 432 m²

➞ 864 m²

Area of grass field each cow be getting

➞ 864/18

➞ 48 m²