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joja [24]
3 years ago
9

a model of an apartment is shown 1\4 in. represents 3 feet in the actual apartment. Find the actual area of the master bedroom

Mathematics
1 answer:
Hatshy [7]3 years ago
8 0

Answer:12 feet by 9 feet


Step-by-step explanation:

1/4 = 3 feet, so every 1/4 of an inch there is three feet, e.g. 3/4 inches of that scale is 9 feet, 1 1/2 inches would be 18 feet, make sense?

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Find the measure of the exterior angle. *
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Step-by-step explanation:

✧ \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}} }:

  • Set up an equation and solve for x :

⋆ \large{ \bf{(4x + 9) \degree = 2x \degree + (3x - 12) \degree}} [ Exterior angle is always equal to the sum of two non - adjacent interior angles ]

~Remove the unnecessary brackets

⟶ \large{ \bf{4x \degree + 9 \degree = 2x \degree + 3x \degree - 12 \degree}}

~Add the like terms : 2x ° & 3x°

⟶ \large{ \bf{4x \degree + 9 \degree = 5x \degree - 12 \degree}}

~Move 4x to right hand side and change it's sign

~Similarly move 12 to left hand side and change it's sign

⟶ \large{ \bf{9 \degree + 12 \degree = 5x  \degree - 4x \degree}}

⟶ \large{ \bf{21 \degree = x \degree}}

⟶ { \large{ \bf{x  = 21 \degree}}}

  • Now , Substituting the value of x in (4x+9)° [ Exterior angle ]

⤿ \large{ \bf{4 \times 21 \degree + 9 \degree}} =  \boxed{93 \degree}

☥ \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer :  \boxed{ \underline { \tt{93\degree}}}}}}}

Hope I helped ! ツ

Have a wonderful day / night ! ♡

❅ Let me know if you have any questions regarding my answer! ❅

☞ \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}} !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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3 years ago
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