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In Mathematics / High School | 2014-03-11

The length of a rectangle is 3 meters less than twice the width. If the area is 104 square meters, find the length.

Asked by paoladudee

Answer (3)

x-width 2x-3-length
A=lxw 104=(2x-3)(x) 104=2x^2-3x 52=x^2-3/2(x) 52+9/16=x^2-3/2(x)+9/16 841/16=(x-3/4)^2 29/4=x-3/4 x=32/4 or 8
length is 2(8)-3 which is 13 and width is 8

Answered by deathstrike001 | 2024-06-24

l = 13 m ;

Answered by Rohan11 | 2024-06-24

The length of the rectangle is found to be 13 meters, with the width being 8 meters. This is derived from the relationship between the length and width alongside the area provided. By solving the quadratic equation formed from the area formula, we identify the appropriate dimensions of the rectangle.
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Answered by deathstrike001 | 2024-11-02