Q.40)The area of a rectangular garden is 3000 m2. Its sides are in the ratio 6 :
5. Find the perimeter of the garden.
a)320
b)125
c)156
d)220
Answers
Answered by
2
Answer:
220m
Step-by-step explanation:
We are given that the sides of rectangular garden are in ratio 6 : 5.
Let the ratio be x
So, Length = 6x
Breadth = 5x
Area of garden = Length \times Breadth = 6x \times 5xLength×Breadth=6x×5x
The area of a rectangular garden is 3000 sq.m.
\begin{gathered}6x \times 5x = 3000\\30x^2=3000\\x^2=100\\x=\sqrt{100}\\x = 10\\\end{gathered}
6x×5x=3000
30x
2
=3000
x
2
=100
x=
100
x=10
Length = 6x = 60
Breadth = 5x = 50
Perimeter of rectangular garden = 2 (l+b) = 2(60+50)=220 m2(l+b)=2(60+50)=220m
Hence The perimeter of garden is 220 m
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