The length and Breadth of a rectangle are in the ratio 3:1 . If the Perimeter of rectangle is 72m, then the length of the rectangle is
Answers
Answered by
19
✬ Length = 27 m ✬
Step-by-step explanation:
Given:
- Length and Breadth of a rectangle are in ratio 3 : 1.
- Perimeter of rectangle is 72 m.
To Find:
- What is the measure of length ?
Solution: Let x be the common in given ratio. Therefore,
➟ Length = 3x m
➟ Breadth = x m
As we know that
★ Perimeter of Rectangle = 2(Length + Breadth) ★
A/q
- Perimeter is 72 m.
72 = 2(3x + x)
72 = 6x + 2x
72 = 8x
72/8 = x
9 = x
So,
➫ Length of rectangle = 3x = 3(9) = 27 m
➫ Breadth = x = 9 m
__________________
★ Verification ★
➙ 72 = 2(18 + 9)
➙ 72 = 2(36)
➙ 72 = 72
Answered by
7
The length and breadth of a rectangle are in the ratio 3:1. If the perimeter if rectangle is 72 cm, then the length of the rectangle is..?
★ Given that,
- Length and Breadth of rectangle in ratio = 3:1
- Perimeter of rectangle = 72 cm.
★ To find,
- Length of rectangle.
★ Let,
- Length (l) = 3x
- Breadth (b) = x
★ Formula used:
According to the question....
- Substitute the value of x to get length.
Hence, length = 27 cm & breadth = 9 cm.
★ Verification,
- Substitute the values of length and breadth in the formula.
Hence, it was verified.
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