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1. A dance floor is made from square wooden tiles with a side length of 1 foot. The floor can be laid out as a square or a rectangle. The width of the rectangular floor is 10 feet less than the width of the square floor, and its length is 15 feet greater than the length of the square floor.
a) How much greater is the length of the rectangular dance floor than the width?
b) The perimeter of the rectangular dance floor is 130 feet. What are the length and width of the dance floor?
c) How many quire tiles make up the dance floor?

Sagot :

apologiabiology
legnth/width for square = x
width of rectangle= x-10
legnth of rectangle=x+25
so (x-10)+35=2x+25 which is the first part

part two
the perimiter of rectangle floor =130
perimiter= 2width+2legnth so 130/2=width+height
width=x-10 and legnth=x+25 so
x-10+x+25=130/2
2x+15=75
minus 15 from both sides
2x=60
divide by two
x=60 which is legnth/width of the square, but we want the legnth and width of the rectangle so
x-10=width=50
x+25=legnth=85
so the number of tiles on the floor is 50 times 85 which is 4250 tiles
celestialglow

legnth/width for square = x

width of rectangle= x-10

legnth of rectangle=x+25

so (x-10)+35=2x+25 which is the first part

part two

the perimiter of rectangle floor =130

perimiter= 2width+2legnth so 130/2=width+height

width=x-10 and legnth=x+25 so

x-10+x+25=130/2

2x+15=75

minus 15 from both sides

2x=60

divide by two

x=60 which is legnth/width of the square, but we want the legnth and width of the rectangle so

x-10=width=50

x+25=legnth=85

so the number of tiles on the floor is 50 times 85 which is 4250 tiles

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