The drawing plan for an art studio shows a rectangle that is 15.2 inches by 8 inches. the scale in the plan is 4 in.: 5 ft. find the length and width of the actual studio. then find the area of the actual studio. the length is feet, the width is feet, and the area is square feet.

Length: 19 feet

Width: 10 feet

Area: 190 feet

Step-by-step explanation:

This is a question about ratio.

Length: let be the actual length.

Width: let be the actual width.

Area: A = xy

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

2x^2+5x+17

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