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marin [14]
3 years ago
9

The width of a rectangle is 5 units less than the length. The area of the rectangle is 6 units. What is the width, in units, of

the rectangle?
Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0

Answer:

The width of rectangle is 1 unit.

Step-by-step explanation:

Given:

The area of rectangle is 6 units and its width is 5 units less than the length.

So, to find the width of rectangle.

Let the length be x and the width be x-5.

Now, to find the width we put the formula of area of rectangle:

Area = length × width

6= x\times (x-5)

6=x^{2}-5x

0=x^{2}-5x-6

0=x^{2}-6x+x-6

0=x(x-6)+1(x-6)

0=(x-6)(x+1)

<em>On solving equation we get:</em>

x-6=0, x+1=0

Therefore, we take the value x=6 as it is positive value:

x-6=0

x=6

So, the width of rectangle:

Width = x-5

          = 6-5

          = 1

Therefore, the width of rectangle is 1 unit.

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