The length of a rectangle exceeds its width by 8cm and the area of the rectangle is 240 sq. Cm find tge dimenshions of the rectangle?
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Answer:
Step-by-step explanation:
Let the breadth be x
so the length will be x+8
area of the rectangle=240cm²
∵area of rectangle=length*breadth
∴240=(x)(x+8)
240=x²+8x
x²+8x-240=0
x²+20x-12x-240=0
x(x+20)-12(x+20)=0
(x+20)(x-12)=0
so x=-20 or x=12
∵The dimensions cannot be negative
∴x=12
length=20cm
breadth=12cm
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