A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an eq

Question

3 years ago

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uation that represents this solution.

1 answer:

Nitella [24] · Answer 1 · 2022-03-13T09:54:24+03:00

Answer: $2x^2-7x=72$ , where x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length = 2x-7 ( in inches).

Area of rectangle = Length × width

= (2x-7) × (x)

= 2x × x -7 ×x

= 2x²-7x

The area of the rectangle is 72 square inches.

$\Rightarrow\ 2x^2-7x=72$

Hence, the equation that represents the given situation :

$2x^2-7x=72$