A rectangle with sides 7 and #x+2# has a perimeter of 40 units. What is the value of #x#?

Answer 1

#=>x = 11#

For a length #l# and width #w#, the perimeter of the rectangle is given as:
#P = l + l + w+ w = 2l + 2w = 2(l+w)#
We are given two sides. It doesn't matter which is which, so let's use #l = 7# and #w=x+2#.

Using our perimeter equation:

#40 = 2(7+(x+2))#
Now we solve for #x#.
#40 = 2(x+9)#
#40 = 2x+18#
#22 = 2x#
#11 = x#
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Answer 2

The perimeter (( P )) of a rectangle is given by the formula:

[ P = 2 \times (\text{length} + \text{width}) ]

Given that the length of the rectangle is 7 units and the width is ( x + 2 ) units, we can write the equation for the perimeter as:

[ 40 = 2 \times (7 + x + 2) ]

Simplify and solve for ( x ):

[ 40 = 2 \times (9 + x) ]

[ 20 = 9 + x ]

[ x = 20 - 9 ]

[ x = 11 ]

Therefore, the value of ( x ) is 11 units.

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Answer 3

To find the value of ( x ), we use the formula for the perimeter of a rectangle, which is given by:

[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) ]

Given that one side of the rectangle is ( 7 ) units and the other side is ( x + 2 ) units, we can set up the equation:

[ 40 = 2 \times (7 + x + 2) ]

Simplify the expression inside the parentheses:

[ 40 = 2 \times (9 + x) ]

Now, distribute ( 2 ) across ( 9 + x ):

[ 40 = 18 + 2x ]

Subtract ( 18 ) from both sides of the equation:

[ 40 - 18 = 18 + 2x - 18 ] [ 22 = 2x ]

Finally, divide both sides by ( 2 ):

[ \frac{22}{2} = \frac{2x}{2} ] [ 11 = x ]

So, the value of ( x ) is ( 11 ) units.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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