A rectangle with a width of 6 inches and a length of 8 inches has length extended by X inches write an expression for the new length
(a) Write an expression for a new length in terms of x
(b) The area of enlarged rectangle is 78 square inches. Set up and solve equation for value of x

Respuesta :

Answer:

A) [tex]6(8x)=78[/tex]

B) [tex]x=1.625[/tex]

Step-by-step explanation:

[tex]6(8x)=78[/tex]

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Answer:

a) 8 + x

b) x = 5

Step-by-step explanation:

width = 6 in

length = 8 in

a)  extend length by x inches ⇒ length = 8 + x

b)  area of a rectangle = width x length

Given enlarged rectangle area = 78:

⇒ 6(8 + x) = 78

⇒ 48 + 6x = 78

⇒ 6x = 30

⇒ x = 5