The area of the parallelogram is 65 square miles. Find it’s base and height. x-4 , x+4

base = b = 5

height = h = 13

Step-by-step explanation:

Given Data:

Area of Parallelogram = A = 65

base = b = x -4

height = h = x+4

Formula:

A = b×h

Solution:

A = b×h

65 = (x-4)×(x+4)

65 =                               ∴ (a-b)(a+b) =

65 =

= 65 + 16

= 81

Now,

base = b = x -4 = 9-4

base = b = 5

height = h = x+4 = 9+4

height = h = 13

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1