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Please help this is due tomorrow!!
2 answers:
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★ Sanya has a piece of land which is in the shape of a rhombus.
★ She wants her one daughter and one son to work on the land and produce different crops, for which she divides the land in two equal parts.
★ Perimeter of land = 400 m.
★ One of the diagonal = 160 m.
★ Area each of them [son and daughter] will get.
Let, ABCD be the rhombus shaped field and each side of the field be
[ All sides of the rhombus are equal, therefore we will let the each side of the field be ]
Now,
• Perimeter = 400m
Each side of the field = <u>100m</u><u>.</u>
Now, we have to find the area each [son and daughter] will get.
So, For ABD,
Here,
• a = 100 [AB]
• b = 100 [AD]
• c = 160 [BD]
Using <u>herons formula</u><u>,</u>
where
• s is the simi perimeter = 180m
• a, b and c are sides of the triangle which are 100m, 100m and 160m respectively.
<u>Putt</u><u>ing</u><u> the</u><u> values</u><u>,</u>
Thus, area of ABD = <u>4800 m²</u>
As both the triangles have same sides
So,
Area of BCD = 4800 m²
<u>Therefore, area each of them [son and daughter] will get = 4800 m²</u>
★ Figure in attachment.
