the breadth of a rectangular garden is 1/4 of it’s length. if it’s perimeter is 30 m find its dimensions About the author Maria
Answer: Length and Breadth of the rectangular garden are 12 m and 3 m respectively. Step-by-step explanation: Given that: The breadth of a rectangular garden is 1/4 of its length. The perimeter of the garden is 30 m. To Find: The dimensions of the garden. Solution: Let us assume: The length of the rectangular garden be 4x. Then, The breadth of the rectangular garden will be x. As we know that: Perimeter of a rectangle = 2(length + breadth) units Substituting the values, [tex]\sf{Perimeter=2(4x+x)}[/tex] [tex]\sf{=2\times5x}[/tex] [tex]\sf{=10x}[/tex] Hence, Perimeter of the rectangular garden = 10x But, Perimeter of the rectangular garden = 30 m (given) Therefore, [tex]\sf{\longmapsto10x=30\;m}[/tex] Transposing 10 from LHS to RHS and changing its sign, [tex]\sf{\longmapsto x=\dfrac{30\;m}{10}}[/tex] Cutting off the zeros, [tex]\sf{\longmapsto x=\dfrac{3\!\!\!\not{0}\;m}{1\!\!\!\not{0}}}[/tex] [tex]\bf{\longmapsto x=3\;m}[/tex] Hence, Value of x = 3 m Therefore, Length of the rectangular garden = 4x = (4 × 3) m = 12 m Breadth of the rectangular garden = x = 3 m Reply
Answer: 12 and 3 Step-by-step explanation: L=x B=x/4 Perimeter=30m 2(L+B) 2(5x/4) 5x/2=30 5x=60 x=12 x/4=3 Reply
Answer:
Step-by-step explanation:
Given that:
To Find:
Solution:
Let us assume:
Then,
As we know that:
Perimeter of a rectangle = 2(length + breadth) units
Substituting the values,
[tex]\sf{Perimeter=2(4x+x)}[/tex]
[tex]\sf{=2\times5x}[/tex]
[tex]\sf{=10x}[/tex]
Hence,
But,
Therefore,
[tex]\sf{\longmapsto10x=30\;m}[/tex]
Transposing 10 from LHS to RHS and changing its sign,
[tex]\sf{\longmapsto x=\dfrac{30\;m}{10}}[/tex]
Cutting off the zeros,
[tex]\sf{\longmapsto x=\dfrac{3\!\!\!\not{0}\;m}{1\!\!\!\not{0}}}[/tex]
[tex]\bf{\longmapsto x=3\;m}[/tex]
Hence,
Therefore,
Answer:
12 and 3
Step-by-step explanation:
L=x
B=x/4
Perimeter=30m
2(L+B)
2(5x/4)
5x/2=30
5x=60
x=12
x/4=3