Question

The area of a rectangle is its length times its width .
The area of a rectangle is 60 square centimeters.
its length is 7 cm longer than its width .find its width .
what is its length write an equation and solve it ​

Answer 1

Answer:

The length is 5cm.

Step-by-step explanation:

(x)(x+7) = 60

x^2 +7x = 60

x^2 +7x - 60 = 0

x^2 + 12x - 5x = 0

Answer 2

Answer:

$lenght = 12cm \\ width = 5cm$

Step-by-step explanation:

$area \: = lenght \times width \\ area = 60cm { }^{2} \\ let \: width = xcm \\ let \: lenght = (x + 7)cm \\ 60 = \: (x)(x + 7) \\ 60 = x ^{2} + 7x \\ x {}^{2} + 7x = 60 \\ x {}^{2} + 12x - 5x - 60 = 0\\ x(x + 12) - 5(x + 12) \\ (x + 5)(x + 12) \\ x = 5 \: or \: x =- 12 \\ since \: width \: cant \: be \: negative \\ width = 5cm \\ lenht = 5 + 7 = 12cm$