bradenjesmt1701 bradenjesmt1701
  • 22-06-2021
  • Mathematics
contestada

A rectangle has horizontal sides of 3(x-2)ft and vertical sides of 4x-7+(-2x)ft. Find the value of x so that the rectangle of x has a perimeter of 34 ft.

Respuesta :

adioabiola
adioabiola adioabiola
  • 23-06-2021

Answer:

x = 6

Step-by-step explanation:

Perimeter of the rectangle = 34 ft

Length of the rectangle = 3(x-2) ft

Width of the rectangle = 4x-7+(-2x) ft

= 4x - 7 - 2x

= 2x - 7 ft

Perimeter of a rectangle = 2(length + width)

34 = 2{3(x-2) + 2x - 7 }

34 = 2{3x - 6 + (2x - 7)}

34 = 2(3x - 6 + 2x - 7)

34 = 2(5x - 13)

34 = 10x - 26

34 + 26 = 10x

60 = 10x

x = 60/10

x = 6

Length of the rectangle = 3(x-2) ft

= 3(6 - 2)

= 3(4)

= 12 ft

Width of the rectangle = 2x - 7 ft

= 2(6) - 7

= 12 - 7

= 5 ft

Answer Link

Otras preguntas

A student notices that an inflated balloon gets larger when it is warmed by a lamp. Which best describes the mass of the balloon with this change?
The effect of alcohol varies from one person to another, mostly because it depends on the blood alcohol concentration, or BAC. What does blood alcohol concentra
What is a value or values that make an equation true
Do Giant Pandas travel in a group or alone?
Count on 5 tens 34, , ,
In a recent survey of 500 people, 345 said they preferred Little Ceasers to Dominoes. What Percent liked Little Caesars.
what part of speech is the word "axis"?
the heights, x cm, of the 10 girls in an athletics team are such that sum of x (∈x) =1550 and ∈x∧2= 241250a- find the mean and varianceb- one girl, who is 173cm
What does multiplicative pattern mean?
What is 0.57 divided by 30 and how did I get that