The length of a rectangle is twice its breadth . If the perimeter is 90m , find the length and breadth of rectangle
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➲ Gɪᴠᴇɴ :-
The length of a rectangle is twice its breadth . The perimeter is 90m.
➲ ᴛᴏ ғɪɴᴅ :-
- Length
- Breadth
➲ sᴏʟᴜᴛɪᴏɴ :-
Let length of rectangle be x m and breadth be y m
➤ According to 1st condition :-
- Length = 2 × Breadth
- x = 2y. --(1)
➤ According to 2nd condition :-
Perimeter of Rectangle = = 2(l + b) = 90m
➭ 2(l + b) = 90
➭ 2(x + y) = 90
➭ 2(2y + y) = 90. --(from-1)
➭ (2y + y) = 90/2
➭ 2y + y = 45
➭ 3y = 45
➭ y = 45/3
➭ y = 15 m
Put y = 15 in (1) , we get ,
➭ x = 2y
➭ x = 2 × 15
➭ x = 30 m
Hence,
- Length = x = 30 m
- Breadth = y = 15 m
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