Jenny has 50 square tiles. She arranges the tiles into a rectangular array of 4 rows. How many tiles will be left over
2 answers:
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Answer:
The dimension of the rug would be 17 ft × 9 ft.
Step-by-step explanation:
Given
length of the room = 27 ft.
width of the room = 19 ft.
suppose, she leaves a uniform strip of x ft. around the rug.
So,
The length of rug = (27-2x)ft.
Width of rug= (19-2x)ft.
∴ Area of the rug= length×width
According to the question,
( subtract 153 both sides)
( Middle term splitting)
or
( zero product property)
or
if x=18, dimension would be negative ( Not possible)
Thus, x= 5
Hence,
length of rug= 27-10=17 ft.
width of rug= 19-10=9 ft.
Answer:
Son's age = 24 years
Man's age = 48 years
Step-by-step explanation:
Let's take the age of son as x
Man's age = 2x
Twelve years ago,
Son's age= x-12
Man's age= 2x-12
Man is three times as old as his son so,
Solving for x,
2x-12(1) = x-12(3)
2x-12 = 3x-36
2x-3x = -36+12
-x = - 24
x = 24
So if we substitute the values we get,
Son's age = 24 years
Man's age = 48 years
Hope you understand :)