Roger owns a one-acre piece of land. the length of the land is 484 feet. what is the width of his property? (hint: one acre 43,560 square feet

The width of Roger´s property is 90 feet.

Step-by-step explanation:

Given " Roger owns a one acre piece of land" means that the piece of land has an area of 1 acre. Then if 1 acre= 43,560 feet², means that land´s area is 43,560 feet².

Secondly we have to aproximate the area of the land to the area of a rectangle, considering that the equation this area is

Area = length · width. As length is 484 feet

43,560 feet² = (484 feet) · width ⇒ (43,560 feet²)/(484 feet) = width

⇒ 90 feet = width.

Summarizing, the width of Roger´s property is 90 feet.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

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