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56) The length of a rectangle is 1 inch more than 4 times its width. The area of the rectangle is 3 square
inches. What is the perimeter of the rectangle?


Sagot :

Perimeter of rectangle is  9.5 inches

If the length of the rectangle is l and its width is w,

l = 4w + 1, and

lw = (4w+1)×w = 3.

This yields 4w² + 1w -3= 0, which can be solved in the normal way for quadratic equations.

Solving the equation we get as

w=0.75 or w=-1

as it an not be negative value hence w=0.75

l=4

Perimeter of rectangle is 2*(l+w)= 9.5 inches.

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