The length of a rectangle is 5 more than 3 times its width. find the length and width of the rectangle with an area of 182 square units. explain.

The length and width of the given rectangle with area of 182 square units is; Length = 26 units and width = 7 units

Let the length of the rectangle be x

Let the width of rectangle be y

Let the area of rectangle be A

Formula for area of rectangle is;

A = length * width

Thus;

A = xy

We are told that area is 182 square units. Thus;

xy = 182 sq.units   -----(eq 1)

Also the length of the rectangle is 5 more than 3 times its width. Thus;

x = 3y + 5   ------(eq 2)

Put 3y + 5 for x in eq 1 to get;

y(5 + 3y) = 182

3y² + 5y = 182

3y² + 5y - 182 = 0

Using online quadratic equation calculator gives; y = 7

Thus;  x = 182/7

x = 26

Read more about area of a rectangle at; link

need more information

step-by-step explanation: