Is area of rhombus is 84 metre square if its perimeter is 40 metre then find its altitude
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25
given area of the rhombus = 84m²
perimeter of the rhombus = 40m
therefore length of the side if the rhombus = 40/4 (since rhombus has 4 equal sides)
= 10m
there are two formulas for the area of a rhombus. one is 1/2×d1×d2 where d1 and d2 are the diagonals of the rhombus. and another one is base × altitude where base is the side of the rhombus.
here we have to find the altitude of the rhombus, so we will use the second one.
=> base × altitude = 84m²
=> 10 × altitude = 84m²
=> altitude = 84/10
=> altitude = 8.4m
hence, the altitude of the rhombus is 8.4m
Answered by
8
Answer:
Step-by-step explanation:
given area of the rhombus = 84m²
perimeter of the rhombus = 40m
therefore length of the side if the rhombus = 40/4 (since rhombus has 4 equal sides)
= 10m
there are two formulas for the area of a rhombus. one is 1/2×d1×d2 where d1 and d2 are the diagonals of the rhombus. and another one is base × altitude where base is the side of the rhombus.
here we have to find the altitude of the rhombus, so we will use the second one.
=> base × altitude = 84m²
=> 10 × altitude = 84m²
=> altitude = 84/10
=> altitude = 8.4m
hence, the altitude of the rhombus is 8.4m
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