Question

the lengh of a rectangle is 6cmgreater than the width. the area is 112cm^(2). find the lengh and the width

Answer 1

See below ~

Explanation:

The length and width are x + 6 and x respectively.

Equating to the area :

• Area = length × width
• 112 = (x +6)(x)
• 112 = x² + 6x
• x² + 6x - 112 = 0
• x² + 14x - 8x - 112 = 0
• x(x + 14) - 8(x + 14) = 0
• (x - 8)(x + 14) = 0
• x = 8, because distances are always positive

Dimensions :

• Length = x + 6 = 8 + 6 = 14 mm
• Width = x = 8 mm