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uranmaximum [27]
3 years ago
5

The area of a rectangle is 72 cm square. The length of the rectangle is 6 cm longer than the width. What is the width of the rec

tangle? A 2 cm B 6 cmC 8 cmD 10 cm
Mathematics
1 answer:
miskamm [114]3 years ago
6 0

The correct option will be :  B) 6 cm.

<u><em>Explanation</em></u>

Suppose, the width of the rectangle is x cm.

As, the length is 6 cm longer than the width, so the length will be: (x+6) cm.

<u>Formula for the Area of rectangle</u> is: (Length)*(Width)

Given that, the area of a rectangle is 72 cm²

So....

x(x+6)=72\\ \\ x^2+6x-72=0\\ \\ (x+12)(x-6)=0

Using zero-product property, we will get...

x+12=0\\ x= -12 <em>(Negative value is ignored as width can't be negative)</em>

and

x-6=0\\ x=6

So, the width of the rectangle is 6 cm.

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