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Wayne had a square garden in his backyard. He decided to increase the
length by 5 ft and decrease the width by 5 ft. The garden is now a rectangle
with an area of 50 sq ft. What was the length of a side before Wayne
changed the shape of the garden?

Respuesta :

Answer: √75 (square root of 75 in exact value/8.66 to 2dp)

Step-by-step explanation:

Let x be the length of the original length

-> therefore the new dimensions of the rectangle will be x-5 and x+5
since the product of these two lengths is 50 we can write it in an equation and solve for x

(x-5)(x+5) = 50

x^2 - 25 = 50

x^2 = 75

x= √75  (in exact value)

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