perimeter of a rectangle is 154 its length is 2 metre more than twice is its breadth what are the length and breadth
Answers
Answered by
5
Given :- The perimeter of a rectangle is 154 metres .Length is 2 m more than twice its breadth .
To Find :- Length and Breadth of rectangle.
Answer :- Length of rectangle is 52 m and Breadth of rectangle is 25 m.
Step-by-step explanation:
- Let the Breadth be x m.
- Then, it's Length will be 2x + 2 m.
★ According to Question :-
→ Perimeter of rectangle = 2(Length + Breadth
→ 154 = 2(2x + x + 2)
→ 154 = 2(3x + 2)
→ 154 = 6x + 4
→ 154 - 4 = 6x
→ 150 = 6x
→ x = 150/6
→ x = 25 m
Therefore,
- Length of rectangle = 2x + 2 = 52 m
- Breadth of rectangle = x = 25 m
Extra shots :-
- Volume of cylinder = πr²h
- T.S.A of cylinder = 2πrh + 2πr²
- Volume of cone = ⅓ πr²h
- C.S.A of cone = πrl
- T.S.A of cone = πrl + πr²
- Volume of cuboid = l × b × h
- C.S.A of cuboid = 2(l + b)h
- T.S.A of cuboid = 2(lb + bh + lh)
- C.S.A of cube = 4a²
- T.S.A of cube = 6a²
- Volume of cube = a³
- Volume of sphere = 4/3πr³
- Surface area of sphere = 4πr²
- Volume of hemisphere = ⅔ πr³
- C.S.A of hemisphere = 2πr²
- T.S.A of hemisphere = 3πr²
Answered by
24
Given :-
- Perimeter = 154 m
Let the breath be x m
∴ Length be 2x + 2 m
To Find :-
- Length
- Breadth
Solution :-
Formula of Perimeter :-
- P = 2 ( l + b)
Where
- l = length
- b = breath
- P = Perimeter
So, let's substitute the values
⟹ 154 = 2( x + 2x + 2)
⟹ 154 = 2 ( 3x + 2)
⟹ 154 = 6x + 4
⟹ 154 - 4 = 6x
⟹ 150 = 6x
⟹ 6x = 150
⟹ x = 150/6
⟹ x = 25
Thus, we got the value of x i.e 25
Now, we will be substituting these value in the length & Breadth
- Breadth = x = 25 m
- Length = 2x + 2 = 25 × 2 + 2 = 50 + 2 = 52 m
Thus, we got breadth as 25 m & length as 52 m
Similar questions