Question

The length of a rectangle of a piece of steel in a bridge is 3 meters less than double the width. the perimeter of the piece of steel is 42 meters. find the length of the piece of steel find the width of the piece of steel

Answer 1

Hey there!!

A rectangle has length and width. In this the two lengths and the two width would be equal.

Perimeter = length + breadth + length + breadth

Perimeter = 2 ( length + breadth )

Let's take the measure of the width as ' w '

Then, the length is given by 3 meters less than double the width

double the width = 2w

3 less than double the width = 2w - 3

Hence, the measure of the length is 2w - 3

Now, let's plug in these values for the perimeter :

2 ( w + 2w - 3 )

Given perimeter is 42 meters

Hence,

2 ( w + 2w - 3 ) = 42

... 2 ( 3w - 3 ) = 42

... 6w - 6 = 42

Adding 6 on both sides

... 6w = 48

Dividing by 6 on both sides

... w = 48 / 6

... w = 8

Hence, the width is 8 meters

We know the width is 8 meters and the length is 2w - 3

Now plug in the values...

... 2 ( 8 ) - 3

... 16 - 3

... 13 meters.

Hence, the width is 8 meters and the length is 13 meters.

Hope my answer helps!!