Mathematics, 30.07.2019 06:30 brialevy2283

What are the side lengths of the rectangle area 40 perimeter 26

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Recall the formula for finding the area of a rectangle:

Area = Length × Width

Recall the formula for finding the perimeter of a rectangle:

Perimeter = 2 ( Length + Width )

Given in your problem:
Area = 40 sq. units
Perimeter = 26 units

Required to solve for:
Length (L) and width (W)

• First, substitute the given to the formula:

Area = Length x Width
  40 = L × W   ⇒ equation number 1

Perimeter = 2 ( Length + Width )
26 = 2 ( L + W ) ⇒ equation number 2

• Simplifying equation number 2,
13 = L + W

• Rearranging the equation,

L = 13 - W ⇒ equation 3

Substituting equation 3 from equation 1:

( equation 1 ) 40 = (L)(W)
( equation 3 ) L = 13 - W
   40 = (13 - W) (W)
40 = 13W - W²
( regrouping ) W² - 13W + 40 = 0
( factoring ) (W - 8) (W - 5) = 0
W - 8 = 0 ; W - 5 = 0
   W = 8 ; W = 5

Therefore, there are 2 possible values for the width of the rectangle. It can be 8 units or 5 units.

• Now to solve for the length of the rectangle, substitute the two values of width to equation 3.

(equation 3) L = 13 - W
for W = 8   ⇒ L = 13 - 8
L = 5 units

for W = 5   ⇒ L = 13 - 5
L = 8 units

Answer from: Quest

10 * 563.67 = 5636.7

Answer from: Quest

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o ⇌ bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻, the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

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