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Annette [7]
3 years ago
5

The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?

Mathematics
2 answers:
Andrews [41]3 years ago
4 0

Answer:

B. 15 inches.

Step-by-step explanation:

A rectangle shares two pairs of congruent opposite sides.

Perimeter = 42

Let:

the length of the rectangle = <em>l</em>

the width of the rectangle = <em>w</em> = 6

Perimeter = <em>l </em>+ <em>l </em>+ <em>w</em> + <em>w</em>

Plug in 42 for perimeter &  6 for w in the equation:

42 = <em> l </em> + <em> l</em> + 6 + 6

Combine like terms:

42 = (<em> l </em> + <em> l </em>) + (6 + 6)

42 = 2<em>l</em> + 12

Next, isolate the variable, <em>l</em>. Do the opposite of PEMDAS.  First, subtract 12 from both sides:

42 (-12) = 2<em>l</em> + 12 (-12)

42 - 12 = 2<em>l</em>

30 = 2<em>l</em>

Next, divide 2 from both sides:

(30)/2 = (2<em>l</em>)/2

<em>l</em> = 30/2

<em>l</em> = 15

B. 15 inches is the length of the rectangle.

Check:

<em>l </em>+ <em>l</em> + <em>w </em>+ <em>w </em>= 42

15 + 15 + 6 + 6 = 42

30 + 12 = 42

42 = 42 (True).

~

Stella [2.4K]3 years ago
3 0

Answer:

b.15 inches

Step-by-step explanation:

subtract 12 (2 6inch sides) from the perimeter

get 30 and divide by 2 to get 2 sides

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