What are the length and width of a rectangle if the length is
3 inches longer than twice the width and the area of the
rectangle is 5 in2?

Respuesta :

The length and width of the rectangle are 5 inches and 1 inches respectively.

How to find the length and width of a rectangle?

The length and width of the rectangle can be found as follows;

l = 3 + 2w

area of a rectangle = lw

where

  • l = length
  • w = width

Therefore,

5 = lw

5 = (3 + 2w)w

5 = 3w + 2w²

2w² + 3w - 5 = 0

Hence,

2w² + 3w - 5 = 0

Therefore,

w = 1  and w = - 5 / 2

width = 1 inches

length =  3 + 2(1) = 5 inches

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