Question

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

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

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 =?

Formula Used :

• Perimeter of the rectangle =2(length + breadth)
• Area of Rectangle = length x breadth.

Step-by-step explanation :

It is Given that,

The perimeter of a rectangle is equal to 280 meters.

Now,

Let, the length of the rectangle = 5x.

Then, the breadth of the rectangle = 2x.

As We know that,

Perimeter of the rectangle = 2(length + breadth)

Substituting the values in the above formula, we get,

➮ 280 = 2(5x + 2x)

➮ 280 = 2 × 7x

➮ 280 = 14x

➮ x = 280/14

➮ x = 20

Therefore, We got the value of, x = 20.

Hence,

The length of the rectangle, 5x = 5 × 20 = 100 m.

Then, the breadth of the rectangle, 2x = 2 × 20 = 40 m.

Now,

As We know that,

Area of Rectangle = length x breadth.

Substituting the values in the above formula, we get,

= 100 × 40

= 4000

Hence, the area of rectangle = 4000 m².