The adjacent sides of a parallelogram are 125 mm and 62.5 mm. If one altitude of the parallelogram is 0.025 m, find the other altitude in cm:
(A) 5
(B) 0.05
(D) 612 cm²
(C) 2.5
(D) 0.25
Answers
Answer:
d) would be the answer i think and I hope it helps you
Answer:
Option A
Step-by-step explanation:
Given :-
The adjacent sides of a parallelogram are 125 mm and 62.5 mm. If one altitude of the parallelogram is 0.025 m.
To find :-
Find the other altitude in cm ?
Solution :-
Given that :
The adjacent sides of a Parallelogram = 125mm amd 62.5mm
One altitude = 0.025 m
1 m = 1000 mm
0.025 m = 0.025×1000 mm
=> Altitude (h1) = 25 mm
Let the other altitude be h2 mm
We know that
Area of a Parallelogram = bh sq.units
=> b× h1 mm²
=> 125 × 25 mm²
=> 3125 mm²-------(1)
And Area of a Parallelogram
= bh sq.units
= 62.5×h2 mm²-------(2)
Both are areas of a same Parallelogram
So both are equal
=> (1)=(2)
=> 62.5×h2 = 3125
=> (625/10)×h2 = 3125
=> 625h2/10 = 3125
=> 625h2 = 3125×10
=> 625h2 = 31250
=> h2 = 31250/625
=> h2 = 50 mm
We know that
1 cm = 10 mm
=> 1 mm = 1/10 cm
=> 50 mm = 50/10 cm
=> h2 = 5 cm
Therefore ,the altitude = 5 cm
Answer:-
The length of the other altitude of the Parallelogram is 5 cm
Used formulae:-
- Area of a Parallelogram = bh sq.units
Where, b = base and h = altitude
- Every side is called its base of the Parallelogram
- 1 m = 1000 mm
- 1 cm = 10 mm