From a square cardboard sheet, a 3 cm wide strip was cut away. The area of the remaining rectangular cardboard sheet is 70 cm². What was the original dimensions of the square cardboard sheet?

1 Answer
P dilip_k
Mar 26, 2018

original dimensions of the square cardboard sheet is #10xx10cm^2#

Explanation:

Let the length of each side of the original square cardboard be #x# cm. After cutting off a strip of 3cm wide its dimension becomes #"length"=x cm and "breadth"=(x-3)cm#

So area #x^2-3x=70#

#=>x^2-10x+7x-70=0#

#=>x(x-10)+7(x-10)=0#

#=>(x-10)(x+7)=0#

Hence #x=10#cm

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