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El perímetro de un rectángulo mide 42 pulgadas. Si el ancho del rectángulo mide 6 pulgadas, ¿cuál es su largo?

A. 12 pulgadas
B. 15 pulgadas
C. 21 pulgadas
D. 40 pulgadas

Answer :

Let the length of the rectangle be [tex]$L$[/tex] and the width be [tex]$W$[/tex]. We are given that [tex]$W = 6$[/tex] inches and the perimeter [tex]$P = 42$[/tex] inches.

The perimeter of a rectangle is given by the formula:
[tex]$$
P = 2(L + W)
$$[/tex]

Substitute the known values into the formula:
[tex]$$
42 = 2(L + 6)
$$[/tex]

Divide both sides of the equation by 2 to simplify:
[tex]$$
21 = L + 6
$$[/tex]

Subtract 6 from both sides to solve for [tex]$L$[/tex]:
[tex]$$
L = 21 - 6 = 15
$$[/tex]

Thus, the length of the rectangle is [tex]$\boxed{15}$[/tex] inches.

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