The area of a rectangle is 2 square feet. the perimeter of the rectangle is 9 ft. find the length, l , and width, w , of the rectangle. what is l squared plus w squared ?

To solve this question:

Doing this, we get that:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

.

This polynomial has roots such that , given by the following formulas:

Rectangle:

A rectangle has two dimensions, length l and width w.

It's area is given by:

It's perimeter is given by:

The area of a rectangle is 2 square feet.

This means that , and thus:

The perimeter of the rectangle is 9 ft.

This means that:

Since

Applying cross multiplication:

Solving the quadratic equation, we find the value of the dimensions.

It is a quadratic equation with . So

Thus, a possible answer is given by:

A similar question is given at link

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7