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3 years ago

Anyone? Know how to do this?

Mathematics

1 answer:

ki77a [65]3 years ago

5 0

Answer:

x = 4
length = 19 ft
width = 11 ft

Step-by-step explanation:

The area is given by the product of length and width.

A = LW

209 = (4x +3)(4x -5)

209 = 16x^2 -8x -15

224 = 16x^2 -8x

You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".

14 = x^2 -(1/2)x

14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient

(x -0.25)^2 = 14.0625

x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25

Only positive values of x are useful here, so we have

x = 4

Then the dimensions are ...

length = 4x +3 = 4(4) +3 = 19 . . . feet

width = 4x -5 = 16 -5 = 11 . . . feet

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