Find the width and the length if the length of a rectangle is 8 cm greater than the width. The area of the rectangle is 105 cm 2

Aryanna Blake 2022-10-22 Answered
Find the width and the length if the length of a rectangle is 8 cm greater than the width. The area of the rectangle is 105 cm 2
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Answers (1)

Dobricap
Answered 2022-10-23 Author has 14 answers
Let x be the width of the rectangle and x+8 be the length.
A = l × w
105 = x ( x + 8 )
105 = x 2 + 8 x
0 = x 2 + 8 x - 105
0 = ( x + 15 ) ( x - 7 )
x = - 15 and 7
Since a negative length is impossible, the rectangle measures 7 centimetres by 15 centimetres.
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