Respuesta :
Length of the envelope = 1.32 inches
Width of the envelope = 14.52 inches.
Let the width of the rectangle be x
Then the length of the rectangle will be 2 3/4 x.
Also the length of the plastic band to cover the front and back of the envelope = 39 5/8
To cover one side the band required is
=> 39 5/8 ÷ 2
=> 317/8 ÷ 2
=> 317 / 16
=> 19.8
We know that the perimeter of the rectangle is
2( Length + Breadth) = 19.8 /2
=> 2( 2 3/4 x +x ) = 9.9
=> 2( 11/4 x +x) = 9.9
=> 2 (11x +4x ÷ 4) = 9.9
=> 2 × 15x / 4 = 9.9
=> 15x = 9.9 ×2
⇒ x = 1.32
Now length of the envelope =
= 2 3/4 × x
= 2 3/4 × 1.32
= 11 × 1.32
= 14.52
Therefore the length of the rectangular envelope is 14.52 inches.
the width of the rectangular envelope is 1.32 inches.
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