TheSmartestJahz TheSmartestJahz
  • 25-02-2022
  • Mathematics
contestada

A rectangle has an area of 342 square meters. The width is 2 more than 4 time the length. Find the length and width, in meters of the rectangle

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 26-02-2022

Answer:

  • length: 9 m
  • width: 38 m

Step-by-step explanation:

Let x represent the length of the rectangle. The the width is (4x+2) and the area is ...

  x(4x+2) = 342

  2x² +x - 171 = 0 . . . . . divide by 2, rearrange to standard form

  (2x +19)(x -9) = 0 . . . factor

  x = -19/2 or +9 . . . . . the length is the positive solution: 9

  (4x+2) = 4(9) +2 = 38 . . . . find the width from the length

The length of the rectangle is 9 meters. The width is 38 meters.

Answer Link

Otras preguntas

How can the study of children, each one unique, be a science?
why was the whiskey rebellion an important moment in the new countries history?
Simplify 6(a 2) 5a. 23a 12a 11 11a 12
What are some fallacies in animal farm In chapter 2?
why would increased levels of greenhouse gases contribute to higher temperatures on earth
What is outpatient drug-free treatment? a treatment method that consists of group and individual counseling sessions for people recovering from drug abuse, with
Which sentence does not correct this run-on sentence? Sophia has many talents drawing is one of them. A. Sophia has many talents; drawing is one of them. B.
I'm reading the raven and I'm so confused someone help me
Which of the following is NOT a renewable form of energy? A. Biomass B. Solar C. Coal D. Geothermal
A body fat percentage was found 16.5 and the person weighs 165 lbs. what part in pounds of the body weight is fat?