The length of a rectangle is 6 inches, and the width is 5 inches. When each dimension is increased by x inches, the area triples. Which equation models this situation? A) (6x) (5x) = 60 B) (6x) (5x) = 90 C) (x + 6) (x + 5) = 60 D) (x + 6) (x + 5) = 90

D) (x + 6) (x + 5) = 90

Option D is correct. i. e., (x + 6) * (x + 5) = 90

Step-by-step explanation:

Given: Length of Rectangle = 6 inches and Width of Rectangle = 5 inches

To find: Equation which represent the situation when length & width i increased by x inches and area becomes triple.

Area of Rectangle = Length * Width

= 6 * 5

= 30 inche²

Area of Rectangle, A = 30 inche²

When length and width are increased by x inches, new dimensions become

New Length = 6 + x = (x + 6) inches

New Width = 5 + x = (x + 5) inches

Area of new Rectangle = 3 * A = 3 * 30 = 90 inches²

As we know,

Area of New Rectangle = New Length * New Width

90 = (x + 6) * (x + 5)

Therefore, Option D is correct. i. e., (x + 6) * (x + 5) = 90