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

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

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)