The length of a rectangular is three times its width. if the perimeter of the rectangle is 40 cm. find its area.

75

Step by step explanation:

Let x be the value of the width, if the length is 3 times as big as the width, we can show this as 3x.

To find the perimiter and the value of x:

As it is a rectangle, two lines are parallel, so we need to multiply the length and width size to accomodate this:

2 * x = 2x

2 * 3= 6x

Add these two values together:

2x + 6x = 8x

8x is perimeter, so if 40 is the perimeter then:

8x = 40

Divide both sides by 8 to find 1x:

x = 5

Area:

Now we have the value of x, we need to find the area. The area formula is as follows:

Length * Width = Area

So if the length = 3x = 3 * 5  = 15

And the width = x = 5

We can find the area as we have both values:

5 * 15 = 75

So the area is 75!

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“the iliad” (gr: “iliás”) is an epic poem by the ancient greek poet homer, which recounts some of the significant events of the final weeks of the trojan war and the greek siege of the city of troy (which was also known as ilion, ilios or ilium in ancient times).