in a parallelogram.tha base and height are in ratio of 5:2 if the areaof the parallelogram is 360 m square , find its bases and height
Answers
Answered by
1
Step-by-step explanation:
Area = bh
b =5/2 h
Area = 5/2 h h
360 = 5/2 h^2
144 = h^2
12 = h
base = 30
check.
30/12 is a 5/2 ratio of b/h
or
let the base be 5x and the height be 2x
(5x)(2x) = 360
10x^2 = 360
x^2 = 36
x = 6
so the base is 30 and the height is 12
Answered by
4
Answer :
- Base = 30m
- Height = 12m
Given :
- In parallelogram the base and height are in the ratio is 5:2
- Area of parallelogram is 360m²
To find :
- Base and height
Solution :
- Let the base and height be 5x and 2x
Given that,
- Area of parallelogram is 360m²
As we know that ,
- Area of parallelogram = base × height
where , base is 5x and height is 2x
》5x × 2x = 360
》 10x² = 360
》 x² = 360/10
》 x² = 36
》 x = √36
》 x = 6m
Now we have to find the base and height ,
- Base = 5x = 5(6) = 30m
- Height = 2x = 2(6) = 12m
Hence , base and height is 30m and 12m
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