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anya has a piece of land which is in the shape of a rhombus13). She wants her one daughter and one son to work on the land andthe land in two equal parts. If the perimeter of490 m and one of the diagonals is 160 m, how much area each of them wills theEam. theproduce different crops. She dividedthe langet for their crops?d is |
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Answer» Let ABCD be the field. Given perimeter = 400 m So, each side = 400/4 = 100 m Diagonal BD = 160 m Let a = 100 m, b = 100 m, c = 160 m ∴s = (a + b + c)/2 = (100 + 100 + 160)/2 = 180 m. Therefore, Area of△ABD = root under (√s(s - a)(s - b)(s - c)) =root under (√180(180 - 100)(180 - 100)(180 - 160)) =root under (√180 x 80 x 80 x 20) = 4800 m2 Like if you find it useful |
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