Question

The perimeter of a rectangle is equal to 280 metres. The ratio of its length to its width is 5:2. FInd the area of the rectangle.​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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, $P=2(l+b)$

$280=2(5x+2x)$

$280=2(7x)$

$280=14x$

$x=\frac{280}{14}$

$x=20$

The length is l=5(20)=100

The breadth is b=2(20)=40

The area of the rectangle is $A=l\times b$

$A=100\times 40$

$A=4000\ m^2$

Therefore, the area of the rectangle is 4000 meter square.

#Learn more

A rectangular block 16cm long has two square faces. A cube of volume 343cm ^3 is cut from rectangular block find the volume of the remaining block

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