The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2.
Answers
Step-by-step explanation:
The area of the rectangle is 4000 meter square.
Step-by-step explanation:
Given : The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2.
To Find : The area of the rectangle ?
Solution :
Let the ratio be 'x'.
So, the length became l=5x
The breadth became b=2x
The perimeter is given by, P=2(l+b)P=2(l+b)
280=2(5x+2x)280=2(5x+2x)
280=2(7x)280=2(7x)
280=14x280=14x
x=\frac{280}{14}x=
14
280
x=20x=20
The length is l=5(20)=100
The breadth is b=2(20)=40
The area of the rectangle is A=l\times bA=l×b
A=100\times 40A=100×40
A=4000\ m^2A=4000 m
2
Therefore, the area of the rectangle is 4000 meter square.
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