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

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!