A rectangular room is 3 m longer than it is wide. The perimeter is 16m. Floor tiles cost 9 dollars per square metre. How much will it cost to cover the floor?

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Answer 1 · 2018-03-21T20:15:39

$123.75

To find the cost, we need to find the area

Area: length times width

Set up an equation to find the dimensions (x is the width, x+3 is the length since the length is three more than the width):

Perimeter: 2 times length plus 2 times width

#2x+2(x+3)=16#

#2x+2x+6=16#

#4x=10#

#x=2.5 rarr# 2.5 is the width, 5.5 is the length

Area:

#2.5*5.5=13.75 rarr# The area is 13.75 square meters

Since 1 sq. meter's worth of floor tiles is $9, 13.75 square meters' worth of floor tiles would cost $123.75.