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Anonymous Anonymous
  • 04-02-2016
  • Mathematics
Answered

Consuelo's living room is the shape of a rectangle and has an area of 360 square feet. the widith of the living room is 5/8 it's length. what is the length of the living room?

Verified Answer :

taskmasters
taskmasters taskmasters
  • 04-02-2016

The length of the living room is 24 feet.

Given:
Area = 360 ft²
Length = x
Width = 5/8 of x

Area = Length Width
360 ft² = x 5x/8
360 ft² = 5x²/8 
8  360 ft² = 5x²
2880 ft² / 5 = x²
576 = x²
√576 = x
24 = x

To check:
360 ft² = 24 ft (24 5/8)
360 ft² = 24ft 15 ft
360 ft² = 360 ft²

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