Arectangle has a width of 12 ft and a length of 4 ft. what is the effect on the perimeter when the dimensions are multiplied by 6? the perimeter is increased by a factor of 6. the perimeter is increased by a factor of 24. the perimeter is increased by a factor of 96. the perimeter is increased by a factor of 192.

Option A is the answer.

Explanation:

The length is given as = 12 feet

The width is given as = 4 feet

So, perimeter =

=

Perimeter = 32 feet

when the dimensions are multiplied by 6, so length becomes = feet

width becomes= feet

So, new perimeter becomes=

= 192 feet

Dividing the new perimeter with old one =

Hence, The perimeter is increased by a factor of 6.  

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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step-by-step explanation: