The length of a rectangle is three times its width and its perimeter is 32 m. Find the length of the rectangle.
pls tell me fast and show the solution .
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Answers
Given -
- Length of rectangle is three times it's width.
- Perimeter of rectangle = 32 cm
To find -
- Length of the rectangle.
Solution -
Perimeter of rectangle = 2(l + b)
Where,
l = Length
b = Breadth
Let the width be x and length be 3x
On substituting the values -
Perimeter of rectangle = 2(l + b)
32 = 2(3x + x)
32 = 8x
x = 32/8
x = 4
Since length = 3x
so,
Length = 3(4)
Length = 12 cm
Verification -
Perimeter of rectangle = 2(l + b)
32 = 2(4 + 12)
32 = 2 × 16
32 = 32
Length of rectangle is 12cm and width of rectangle is 4cm
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Answer:
The length of a rectangle is three times its width and its perimeter is 32 m. Find the length of the rectangle.
⭐ ✨Length of the rectangle.
✨ l = Length
✨ b = Breadth
Perimeter of rectangle is = 2x(l+b)
Let the breadth be x and the length 3x
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Perimeter of rectangle = 2x(l+b)
= 32 = 2 x (3x + x )
= 32 = 8x
= x = 32/8
= x = 4
length = 3x(4)
= 12 cm
Perimeter of rectangle = 2x(l+b)
= 32 = 2x(4+12)
= 32 = 2 x 16
= 32 = 32.
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✨ Length = 12 cm
✨ Breadth = 4 cm
Step-by-step explanation:
i hope it helps :)