The length of a rectangle is 4in more than its width, and its perimeter is 34in find the length and width of the rectangle

Let and be, respectively, the length and the width of the rectangle.

If the length is 4 inches more than the width, we have

Moreover, the perimeter of a rectangle is given by

And we can substitute to get

We know that the perimeter is 34 inches:

Which implies

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b