the length of a rectangle is one unit more than its width. if the area of the rectangle is 56 square units, find the dimensions of the rectangle

Given:

The length of a rectangle is one unit more than its width.

Area of rectangle = 56 units

To find:

The dimensions of the rectangle.

Solution:

Let, width of the rectangle be x.

Then, length of the rectangle = x+1

Area of a rectangle is

By splitting the middle term, we get

Using zero product property, we get

and

and

Width cannot be negative. So, x=7.

Now,

Width = 7 units

Length = 7+1

            = 8 units

Therefore, the length of the rectangle is 8 units and width is 7 units.

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step-by-step explanation:

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